Prime p₀= 2506409161716176557 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 16 20 6 22 6 32 18 10 12 92 12 10 18 32 6 22 6 20 16 (?)
a_n: 0 16 36 42 64 70 102 120 130 142 234 246 256 274 306 312 334 340 360 376
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: 376
Found by: JayPi
db: batch=82, k=20, 16 20 6 22 6 32 18 10 12 92

SPT(16)	2506407839698554823	0 28 94 114 148 150 168 208 276 316 334 336 370 390 456 484	-1322017621734
STPT(10)	2506407878021243627	0 2 30 32 72 74 114 116 144 146	-1283694932930
SPT(16)	2506408427951321563	0 66 70 76 88 106 118 126 130 138 150 168 180 186 190 256	-733764854994
TPT(14)	2506408540727363009	0 2 132 134 138 140 180 182 258 260 372 374 402 404	-620988813548
SPT(16)	2506408858278644899	0 4 10 24 42 84 154 160 192 198 268 310 328 342 348 352	-303437531658
TPT(14)	2506408993053135251	0 2 30 32 90 92 198 200 210 212 228 230 300 302	-168663041306
TPT(14)	2506409317868378891	0 2 48 50 78 80 90 92 138 140 150 152 288 290	156152202334
STPT(10)	2506409410572003449	0 2 42 44 60 62 78 80 120 122	248855826892
SPT(16)	2506409918451560939	0 32 38 54 180 192 198 210 212 224 230 242 368 384 390 422	756735384382
SPT(16)	2506410199498930909	0 64 72 94 148 174 184 210 262 288 298 324 378 400 408 472	1037782754352
STPT(10)	2506410374032033319	0 2 48 50 90 92 132 134 180 182	1212315856762