Prime p₀= 511976312932310909 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 130 2 34 2 100 2 40 2 34 2 (?)
a_n: 0 2 132 134 168 170 270 272 312 314 348 350
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: 350
Found by: mcf2020
db: batch=71, k=12, 130 34 100 40 34

SPT(14)	511976187090621859	0 4 34 48 58 60 72 100 112 114 124 138 168 172	-125841689050
SPT(14)	511976198216425447	0 16 46 60 72 84 112 264 292 304 316 330 360 376	-114715885462
TPT(14)	511976245109140241	0 2 108 110 150 152 210 212 258 260 288 290 300 302	-67823170668
SPT(14)	511976248055974619	0 42 60 68 78 98 102 110 114 134 144 152 170 212	-64876336290
TPT(12)	511976273693421347	0 2 42 44 54 56 114 116 150 152 192 194	-39238889562
SPT(14)	511976288087395199	0 18 50 74 84 98 104 204 210 224 234 258 290 308	-24844915710
SPT(14)	511976336005343899	0 4 42 54 60 82 88 204 210 232 238 250 288 292	23073032990
SPT(14)	511976345082441907	0 10 22 30 42 54 64 72 82 94 106 114 126 136	32150130998
SPT(16)	511976350123375607	0 26 42 60 74 152 200 210 236 246 294 372 386 404 420 446	37191064698
SPT(14)	511976357631998437	0 16 24 34 40 54 72 94 112 126 132 142 150 166	44699687528
SPT(14)	511976364202186027	0 16 34 42 82 100 126 130 156 174 214 222 240 256	51269875118