Prime p₀= 274911386427845729 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 28 2 16 2 76 2 112 2 (?)
a_n: 0 2 42 44 72 74 90 92 168 170 282 284
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: 284
Found by: davidBAM
db: batch=69, k=12, 40 28 16 76 112

SPT(14)	274911314500606009	0 52 64 72 100 102 132 172 202 204 232 240 252 304	-71927239720
SPT(14)	274911338340477901	0 10 156 168 192 208 210 238 240 256 280 292 438 448	-48087367828
SPT(14)	274911342879398479	0 18 88 102 118 172 190 210 228 282 298 312 382 400	-43548447250
SPT(14)	274911343588566407	0 2 42 72 104 132 140 156 164 192 224 254 294 296	-42839279322
SPT(14)	274911347867786417	0 14 32 42 60 84 90 146 152 176 194 204 222 236	-38560059312
TPT(12)	274911363795339911	0 2 6 8 180 182 258 260 510 512 600 602	-22632505818
STPT(10)	274911389128727147	0 2 30 32 42 44 54 56 84 86	2700881418
SPT(14)	274911406376248277	0 56 80 110 150 152 186 206 240 242 282 312 336 392	19948402548
SPT(14)	274911408041173919	0 32 38 44 72 98 120 122 144 170 198 204 210 242	21613328190
SPT(14)	274911415222887869	0 2 18 32 38 54 72 110 128 144 150 164 180 182	28795042140
SPT(14)	274911430395067777	0 10 12 22 24 42 64 72 94 112 114 124 126 136	43967222048