Prime p₀= 1143434514469198661 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 64 2 40 2 28 2 40 2 64 2 (?)
a_n: 0 2 66 68 108 110 138 140 180 182 246 248
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: 248
Found by: Putin Has a Small Dick
db: batch=76, k=12, 2 64 2 40 2 28

STPT(10)	1143433087363078427	0 2 24 26 42 44 60 62 84 86	-1427106120234
SPT(16)	1143433110441523921	0 6 28 48 60 78 88 120 178 210 220 238 250 270 292 298	-1404027674740
SPT(16)	1143433198497207109	0 22 24 70 72 108 112 148 204 240 244 280 282 328 330 352	-1315971991552
SPT(16)	1143433658326245859	0 30 40 112 118 130 154 160 192 198 222 234 240 312 322 352	-856142952802
TPT(14)	1143433807633214219	0 2 78 80 90 92 108 110 150 152 192 194 222 224	-706835984442
SPT(16)	1143434321022940883	0 26 56 98 104 138 140 150 224 234 236 270 276 318 348 374	-193446257778
SPT(16)	1143435176684515051	0 10 12 78 102 142 190 220 240 270 318 358 382 448 450 460	662215316390
SPT(16)	1143435593740710233	0 36 56 96 110 116 174 176 228 230 288 294 308 348 368 404	1079271511572
STPT(10)	1143435699524843909	0 2 30 32 60 62 90 92 120 122	1185055645248
SPT(16)	1143435837097042663	0 10 48 114 126 130 136 168 286 318 324 328 340 406 444 454	1322627844002
TPT(14)	1143436657081771229	0 2 60 62 102 104 132 134 168 170 210 212 240 242	2142612572568