Prime p₀= 70787056298399299 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 4 30 50 46 42 8 42 10 6 26 6 10 42 8 42 46 50 30 4 (?)
a_n: 0 4 34 84 130 172 180 222 232 238 264 270 280 322 330 372 418 468 498 502
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 502
derived by truncating larger tuple
Found by: emoga
db: batch=67, k=20, 4 30 50 46 42 8 42 10 6 26

TPT(12)	70787005572369059	0 2 30 32 42 44 72 74 108 110 120 122	-50726030240
TPT(12)	70787009299140089	0 2 42 44 60 62 180 182 198 200 222 224	-46999259210
TPT(12)	70787021123589179	0 2 12 14 78 80 120 122 168 170 180 182	-35174810120
SPT(14)	70787028073345921	0 10 36 60 100 178 186 232 240 318 358 382 408 418	-28225053378
SPT(14)	70787043430270247	0 6 14 42 62 84 90 176 182 204 224 252 260 266	-12868129052
SPT(22)	70787056298399297	0 2 6 36 86 132 174 182 224 234 240 266 272 282 324 332 374 420 470 500 504 506	-2
SPT(14)	70787092490662033	0 78 96 106 180 204 238 276 310 334 408 418 436 514	36192262734
TPT(12)	70787096324066909	0 2 78 80 180 182 222 224 330 332 348 350	40025667610
SPT(14)	70787099154510269	0 38 42 44 68 84 98 114 128 144 168 170 174 212	42856110970
SPT(14)	70787108486196251	0 2 32 56 182 200 216 266 282 300 426 450 480 482	52187796952
SPT(14)	70787111600115613	0 16 40 70 94 118 126 148 156 180 204 234 258 274	55301716314
SPT(14)	70787119592969147	0 2 36 44 90 110 176 180 246 266 312 320 354 356	63294569848