Prime p₀= 7437856832419691 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 10 2 28 2 4 2 28 2 (?)
a_n: 0 2 18 20 30 32 60 62 66 68 96 98
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: 98
Found by: Jeff17
db: batch=62, k=12, 16 10 28 4 28

SPT(14)	7437835588233937	0 6 12 54 76 82 124 162 204 210 232 274 280 286	-21244185754
SPT(14)	7437839216407147	0 6 10 52 60 100 120 142 162 202 210 252 256 262	-17616012544
SPT(18)	7437839368332397	0 12 16 52 70 72 90 154 156 160 162 226 244 246 264 300 304 316	-17464087294
SPT(14)	7437847282933673	0 26 68 74 86 128 140 144 156 198 210 216 258 284	-9549486018
SPT(14)	7437849824363191	0 22 60 70 72 78 88 132 142 148 150 160 198 220	-7008056500
SPT(14)	7437854433919159	0 42 70 78 84 138 180 232 274 328 334 342 370 412	-2398500532
SPT(14)	7437858732742609	0 22 40 58 72 78 138 184 244 250 264 282 300 322	1900322918
TPT(12)	7437884992100291	0 2 66 68 78 80 126 128 156 158 198 200	28159680600
SPT(14)	7437885138077753	0 14 20 24 30 36 78 86 128 134 140 144 150 164	28305658062
SPT(16)	7437891783285451	0 78 88 102 108 148 166 168 190 192 210 250 256 270 280 358	34950865760
SPT(14)	7437900807201187	0 64 66 112 114 120 126 130 136 142 144 190 192 256	43974781496