Prime p₀= 975135533668991 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 40 2 28 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 78 80 120 122 126 128
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: 128
Found by: Egon olsen
db: batch=60, k=12, 4 40 28 40 4

SPT(14)	975115987826293	0 24 34 36 78 106 174 190 258 286 328 330 340 364	-19545842698
TPT(12)	975118241792417	0 2 60 62 72 74 114 116 132 134 162 164	-17291876574
SPT(14)	975118953297637	0 12 70 82 96 102 144 172 214 220 234 246 304 316	-16580371354
SPT(14)	975126834832571	0 26 56 78 110 120 128 150 158 168 200 222 252 278	-8698836420
SPT(14)	975127335980683	0 4 18 30 46 70 106 168 204 228 244 256 270 274	-8197688308
SPT(14)	975132224039581	0 12 58 70 76 82 100 108 126 132 138 150 196 208	-3309629410
STPT(12)	975135533668991	0 2 6 8 48 50 78 80 120 122 126 128	0
SPT(14)	975138074074891	0 28 60 70 82 88 108 130 150 156 168 178 210 238	2540405900
SPT(14)	975141650747497	0 16 30 34 36 46 60 76 90 100 102 106 120 136	6117078506
SPT(14)	975144911153383	0 18 40 78 126 138 150 274 286 298 346 384 406 424	9377484392
SPT(14)	975146537096047	0 60 64 72 82 96 112 114 130 144 154 162 166 226	11003427056