Prime p₀= 1261129626225670307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: vaughan
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1261128807631420187	0 14 26 84 92 120 152 174 182 204 236 264 272 330 342 356	-818594250120
SPT(16)	1261128852592603061	0 2 42 48 72 86 110 126 182 198 222 236 260 266 306 308	-773633067246
SPT(16)	1261129036332623951	0 6 30 36 42 50 78 80 138 140 168 176 182 188 212 218	-589893046356
SPT(16)	1261129261534162127	0 30 32 44 84 104 132 170 216 254 282 302 342 354 356 386	-364691508180
SPT(16)	1261129276496628211	0 18 46 66 72 106 112 142 156 186 192 226 232 252 280 298	-349729042096
SPT(16)	1261129515219781237	0 6 30 42 52 64 76 90 136 150 162 174 184 196 220 226	-111005889070
TPT(14)	1261130141193270911	0 2 66 68 78 80 96 98 120 122 168 170 210 212	514967600604
SPT(16)	1261130205726883399	0 10 70 108 130 144 162 180 202 220 238 252 274 312 372 382	579501213092
STPT(10)	1261130354626884407	0 2 30 32 42 44 54 56 84 86	728401214100
SPT(16)	1261130819693989757	0 2 14 80 86 134 200 234 302 336 402 450 456 522 534 536	1193468319450
SPT(16)	1261130878883134933	0 70 88 100 126 144 168 204 220 256 280 298 324 336 354 424	1252657464626