Prime p₀= 1267741376392430909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: Megacruncher
db: batch=77, k=10, 2 10 2 16 2

STPT(10)	1267740106266909557	0 2 42 44 72 74 102 104 144 146	-1270125521352
SPT(16)	1267740141053340161	0 12 26 60 152 212 218 228 320 330 336 396 488 522 536 548	-1235339090748
STPT(10)	1267740205400639951	0 2 36 38 78 80 120 122 156 158	-1170991790958
SPT(16)	1267740488465226211	0 16 18 66 72 88 130 142 156 168 210 226 232 280 282 298	-887927204698
TPT(14)	1267741294045028819	0 2 42 44 90 92 120 122 198 200 228 230 300 302	-82347402090
SPT(16)	1267741330827540563	0 26 36 44 66 108 126 128 276 278 296 338 360 368 378 404	-45564890346
SPT(16)	1267741458654001211	0 6 26 38 66 96 158 168 170 180 242 272 300 312 332 338	82261570302
SPT(16)	1267741868000557777	0 16 24 66 76 94 100 106 114 120 126 144 154 196 204 220	491608126868
STPT(10)	1267741945257035777	0 2 12 14 42 44 72 74 84 86	568864604868
SPT(16)	1267741947908858911	0 48 90 108 112 142 180 198 220 238 276 306 310 328 370 418	571516428002
TPT(14)	1267741995947144537	0 2 42 44 54 56 210 212 222 224 330 332 360 362	619554713628