Prime p₀= 1176886039228654619 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 4 2 232 2 4 2 10 2 (?)
a_n: 0 2 12 14 18 20 252 254 258 260 270 272
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 272
Found by: HenkM
db: batch=77, k=12, 2 10 2 4 2 232

SPT(16)	1176885211932941029	0 4 18 22 58 60 70 78 94 102 112 114 150 154 168 172	-827295713590
SPT(16)	1176885450533275687	0 24 36 46 106 130 136 150 226 240 246 270 330 340 352 376	-588695378932
SPT(16)	1176885772646130761	0 42 96 128 146 158 168 180 188 200 210 222 240 272 326 368	-266582523858
STPT(12)	1176885856385853527	0 2 12 14 60 62 84 86 132 134 144 146	-182842801092
TPT(14)	1176885925427454509	0 2 120 122 168 170 180 182 192 194 222 224 282 284	-113801200110
SPT(20)	1176885947876748251	0 18 30 48 90 98 116 120 158 212 216 270 308 312 330 338 380 398 410 428	-91351906368
STPT(10)	1176886185387459257	0 2 12 14 42 44 72 74 84 86	146158804638
STPT(10)	1176886431342047471	0 2 36 38 108 110 180 182 216 218	392113392852
SPT(16)	1176886665465485251	0 12 82 102 106 120 166 172 180 186 232 246 250 270 340 352	626236830632
STPT(10)	1176886823477737871	0 2 36 38 78 80 120 122 156 158	784249083252
SPT(16)	1176886904952054151	0 6 22 36 66 76 102 118 120 136 162 172 202 216 232 238	865723399532