Prime p₀= 393771952741839167 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 46 2 52 2 76 2 40 2 (?)
a_n: 0 2 12 14 60 62 114 116 192 194 234 236
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: 236
Found by: Cruncher Pete
db: batch=70, k=12, 10 46 52 76 40

SPT(14)	393771877348677287	0 42 102 132 146 176 194 342 360 390 404 434 494 536	-75393161880
TPT(12)	393771880640398079	0 2 30 32 138 140 162 164 222 224 252 254	-72101441088
SPT(14)	393771881228865991	0 18 40 48 76 106 118 180 192 222 250 258 280 298	-71512973176
SPT(14)	393771928911978349	0 10 22 24 40 64 78 94 108 132 148 150 162 172	-23829860818
SPT(14)	393771942742639753	0 4 34 36 84 88 160 174 246 250 298 300 330 334	-9999199414
SPT(14)	393771944682853741	0 78 102 118 132 196 208 210 222 286 300 316 340 418	-8058985426
SPT(14)	393771954660464329	0 10 52 54 60 70 82 132 144 154 160 162 204 214	1918625162
TPT(12)	393771955511152109	0 2 48 50 78 80 90 92 108 110 138 140	2769312942
SPT(14)	393771961757587697	0 6 56 72 110 144 162 194 212 246 284 300 350 356	9015748530
SPT(14)	393771970360659581	0 26 32 56 108 126 152 276 302 320 372 396 402 428	17618820414
SPT(14)	393771993672058817	0 30 54 74 84 102 114 182 194 212 222 242 266 296	40930219650