Prime p₀= 1022769681302045387 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: stoneageman
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	1022769113113301969	0 2 18 20 30 32 42 44 60 62	-568188743418
STPT(10)	1022769240716141057	0 2 42 44 72 74 102 104 144 146	-440585904330
SPT(16)	1022769331442772677	0 14 36 56 86 126 134 140 180 186 194 234 264 284 306 320	-349859272710
SPT(16)	1022769446905126147	0 12 22 34 66 94 120 126 190 196 222 250 282 294 304 316	-234396919240
STPT(10)	1022769487060024139	0 2 42 44 60 62 78 80 120 122	-194242021248
SPT(16)	1022769510477170591	0 92 108 150 170 188 230 240 260 270 312 330 350 392 408 500	-170824874796
STPT(10)	1022769867699800279	0 2 12 14 90 92 168 170 180 182	186397754892
SPT(16)	1022769959619161063	0 50 120 156 170 200 224 230 354 360 384 414 428 464 534 584	278317115676
STPT(10)	1022770004922531917	0 2 84 86 102 104 120 122 204 206	323620486530
SPT(16)	1022770141831866499	0 24 60 70 88 108 112 142 180 210 214 234 252 262 298 322	460529821112
SPT(16)	1022770164062815099	0 52 54 60 94 114 120 130 204 214 220 240 274 280 282 334	482760769712