Prime p₀= 1021113840581259911 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 28 2 10 2 28 2 46 2 (?)
a_n: 0 2 48 50 78 80 90 92 120 122 168 170
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: 170
Found by: [SETI.USA]Tank_Master
db: batch=76, k=12, 2 46 2 28 2 10

STPT(12)	1021112936313351221	0 2 90 92 138 140 168 170 216 218 306 308	-904267908690
TPT(14)	1021112936313351221	0 2 90 92 138 140 168 170 216 218 306 308 426 428	-904267908690
SPT(16)	1021113132908073683	0 20 48 66 84 86 98 114 140 156 168 170 188 206 234 254	-707673186228
SPT(16)	1021113192291037421	0 6 8 38 42 90 102 116 132 146 158 206 210 240 242 248	-648290222490
STPT(10)	1021113501291455459	0 2 18 20 30 32 42 44 60 62	-339289804452
SPT(16)	1021113552959289161	0 8 32 42 66 78 86 128 240 282 290 302 326 336 360 368	-287621970750
STPT(10)	1021113868278924347	0 2 30 32 72 74 114 116 144 146	27697664436
STPT(10)	1021114181259948959	0 2 78 80 120 122 162 164 240 242	340678689048
SPT(16)	1021114213415293957	0 10 16 72 82 114 130 154 252 276 292 324 334 390 396 406	372834034046
SPT(16)	1021114229202561859	0 58 60 78 120 124 138 148 204 214 228 232 274 292 294 352	388621301948
STPT(10)	1021114234260013739	0 2 18 20 30 32 42 44 60 62	393678753828