Prime p₀= 1269040750471189469 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: mikey
db: batch=77, k=10, 2 10 2 76 2

SPT(16)	1269039511696978867	0 46 52 54 60 84 112 150 196 234 262 286 292 294 300 346	-1238774210602
STPT(10)	1269039949308091781	0 2 6 8 18 20 30 32 36 38	-801163097688
SPT(16)	1269040319087168107	0 16 22 60 120 186 232 244 252 264 310 376 436 474 480 496	-431384021362
SPT(16)	1269040371694333853	0 24 30 38 54 96 108 110 114 116 128 170 186 194 200 224	-378776855616
SPT(16)	1269040569510246439	0 12 34 40 48 58 90 100 102 112 144 154 162 168 190 202	-180960943030
STPT(10)	1269040680262151009	0 2 12 14 90 92 168 170 180 182	-70209038460
SPT(16)	1269040828149947429	0 14 44 62 120 122 134 170 174 210 222 224 282 300 330 344	77678757960
SPT(16)	1269041098114004869	0 42 54 70 124 240 244 250 252 258 262 378 432 448 460 502	347642815400
SPT(16)	1269041229531455053	0 24 64 66 90 100 108 126 178 196 204 214 238 240 280 304	479060265584
SPT(16)	1269041368850454721	0 42 58 168 172 186 198 216 322 340 352 366 370 480 496 538	618379265252
SPT(16)	1269041498585560423	0 16 34 58 66 100 114 138 196 220 234 268 276 300 318 334	748114370954