Prime p₀= 262501776270273497 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 16 2 10 2 28 2 10 2 (?)
a_n: 0 2 42 44 60 62 72 74 102 104 114 116
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: 116
Found by: Paul
db: batch=69, k=12, 40 16 10 28 10

SPT(14)	262501719218618773	0 24 64 78 88 108 130 168 190 210 220 234 274 298	-57051654724
SPT(14)	262501720790815787	0 32 56 86 110 134 140 156 162 186 210 240 264 296	-55479457710
SPT(14)	262501732938859481	0 2 30 36 86 126 132 170 176 216 266 272 300 302	-43331414016
SPT(14)	262501745330038913	0 18 54 74 90 138 158 180 200 248 264 284 320 338	-30940234584
SPT(14)	262501748589113899	0 10 28 42 48 82 108 112 138 172 178 192 210 220	-27681159598
SPT(14)	262501760533575341	0 20 48 98 132 146 162 176 192 206 240 290 318 338	-15736698156
SPT(14)	262501776655299611	0 50 138 180 182 192 218 240 266 276 278 320 408 458	385026114
SPT(14)	262501781121937211	0 2 8 56 86 92 96 152 156 162 192 240 246 248	4851663714
SPT(14)	262501782214893439	0 12 72 84 130 142 144 148 150 162 208 220 280 292	5944619942
SPT(14)	262501792247097083	0 20 24 36 116 126 176 198 248 258 338 350 354 374	15976823586
SPT(14)	262501797265738453	0 10 48 54 66 76 96 148 168 178 190 196 234 244	20995464956