Prime p₀= 337487268279605597 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 4 2 28 2 52 2 64 2 (?)
a_n: 0 2 24 26 30 32 60 62 114 116 180 182
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: 182
Found by: ea1ghg
db: batch=70, k=12, 22 4 28 52 64

SPT(14)	337487202867964207	0 6 10 24 36 66 84 112 130 160 172 186 190 196	-65411641390
TPT(12)	337487213014184381	0 2 108 110 126 128 150 152 156 158 168 170	-55265421216
SPT(14)	337487234731419391	0 6 36 42 58 72 100 138 166 180 196 202 232 238	-33548186206
SPT(14)	337487254412935001	0 26 42 60 62 72 78 110 116 126 128 146 162 188	-13866670596
SPT(14)	337487257797109247	0 24 42 80 156 174 200 216 242 260 336 374 392 416	-10482496350
SPT(14)	337487266691862097	0 4 12 54 82 90 96 130 136 144 172 214 222 226	-1587743500
TPT(12)	337487279868155477	0 2 30 32 60 62 102 104 324 326 342 344	11588549880
SPT(14)	337487295058966879	0 40 54 102 114 168 190 312 334 388 400 448 462 502	26779361282
SPT(14)	337487295966174283	0 34 90 94 124 144 154 234 244 264 294 298 354 388	27686568686
SPT(14)	337487300107097579	0 8 24 38 60 80 102 140 162 182 204 218 234 242	31827491982
SPT(14)	337487339885085209	0 8 14 24 42 44 50 72 78 80 98 108 114 122	71605479612