Prime p₀= 5540757770640479 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 10 2 4 2 10 2 40 2 (?)
a_n: 0 2 60 62 72 74 78 80 90 92 132 134
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: 134
Found by: Egon olsen
db: batch=62, k=12, 58 10 4 10 40

SPT(14)	5540711986055881	0 10 22 42 90 120 126 202 208 238 286 306 318 328	-45784584598
SPT(14)	5540725559531783	0 20 48 78 98 140 144 164 168 210 230 260 288 308	-32211108696
SPT(14)	5540726804575307	0 14 36 50 60 86 90 116 120 146 156 170 192 206	-30966065172
SPT(14)	5540727869856691	0 10 28 30 66 88 102 106 120 142 178 180 198 208	-29900783788
SPT(14)	5540734510138931	0 12 20 38 48 50 78 80 108 110 120 138 146 158	-23260501548
SPT(14)	5540754972026401	0 12 22 28 66 96 100 108 112 142 180 186 196 208	-2798614078
SPT(14)	5540758340165681	0 36 50 62 66 78 96 122 140 152 156 168 182 218	569525202
TPT(12)	5540761229064947	0 2 12 14 30 32 84 86 90 92 114 116	3458424468
TPT(12)	5540766805387739	0 2 90 92 102 104 120 122 210 212 288 290	9034747260
TPT(12)	5540768476292639	0 2 30 32 78 80 120 122 132 134 198 200	10705652160
SPT(14)	5540775968780123	0 8 44 60 78 140 186 218 264 326 344 360 396 404	18198139644