Prime p₀= 27442767999142997 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 52 2 16 2 40 2 58 2 4 2 (?)
a_n: 0 2 54 56 72 74 114 116 174 176 180 182
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: davidBAM
db: batch=65, k=12, 52 16 40 58 4

SPT(14)	27442699025951533	0 10 36 76 90 130 136 168 174 214 228 268 294 304	-68973191464
SPT(14)	27442702894034983	0 10 24 70 88 144 148 240 244 300 318 364 378 388	-65105108014
SPT(14)	27442715010346861	0 18 30 46 52 88 102 196 210 246 252 268 280 298	-52988796136
SPT(14)	27442723004548249	0 30 40 58 72 90 112 138 160 178 192 210 220 250	-44994594748
SPT(14)	27442742454460373	0 8 68 78 84 98 108 110 120 134 140 150 210 218	-25544682624
SPT(14)	27442760846542651	0 22 36 58 60 82 100 108 126 148 150 172 186 208	-7152600346
SPT(14)	27442779115824119	0 42 54 60 108 134 138 164 168 194 242 248 260 302	11116681122
TPT(12)	27442781334973517	0 2 30 32 42 44 60 62 84 86 162 164	13335830520
SPT(14)	27442792766001443	0 6 48 80 98 108 140 174 206 216 234 266 308 314	24766858446
SPT(14)	27442794377300503	0 6 24 34 40 70 94 120 144 174 180 190 208 214	26378157506
SPT(14)	27442798799079637	0 10 24 42 46 64 70 96 102 120 124 142 156 166	30799936640