Prime p₀= 11542617133583351 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 22 2 16 2 46 2 40 2 (?)
a_n: 0 2 6 8 30 32 48 50 96 98 138 140
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: 140
Found by: Fardringle
db: batch=62, k=12, 4 22 16 46 40

TPT(12)	11542561937552837	0 2 72 74 90 92 102 104 120 122 144 146	-55196030514
SPT(14)	11542567803342491	0 6 38 60 80 90 122 126 158 168 188 210 242 248	-49330240860
SPT(14)	11542573918956461	0 20 30 42 50 62 80 132 150 162 170 182 192 212	-43214626890
SPT(14)	11542592330406439	0 40 120 142 162 178 222 238 282 298 318 340 420 460	-24803176912
SPT(14)	11542593885444361	0 12 18 28 42 46 48 130 132 136 150 160 166 178	-23248138990
SPT(14)	11542609169436173	0 14 30 38 44 98 110 168 180 234 240 248 264 278	-7964147178
SPT(14)	11542627023876469	0 120 124 148 162 184 202 240 258 280 294 318 322 442	9890293118
SPT(14)	11542635939146971	0 42 46 96 120 126 130 138 142 148 172 222 226 268	18805563620
SPT(14)	11542637012934193	0 24 60 84 88 108 138 166 196 216 220 244 280 304	19879350842
SPT(14)	11542644346273247	0 12 20 26 60 74 96 140 162 176 210 216 224 236	27212689896
SPT(16)	11542644768573637	0 12 52 94 120 144 180 190 336 346 382 406 432 474 514 526	27634990286