Prime p₀= 18961435796893307 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 28 2 10 2 46 2 76 2 (?)
a_n: 0 2 12 14 42 44 54 56 102 104 180 182
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: 182
Found by: gaballus
db: batch=62, k=12, 10 28 10 46 76

SPT(14)	18961386201574853	0 44 50 98 108 116 126 158 168 176 186 234 240 284	-49595318454
SPT(14)	18961389246161039	0 60 68 72 74 90 98 144 152 168 170 174 182 242	-46550732268
SPT(14)	18961390064413217	0 12 24 56 66 80 110 126 156 170 180 212 224 236	-45732480090
SPT(14)	18961396077265679	0 8 42 78 90 98 114 218 234 242 254 290 324 332	-39719627628
TPT(12)	18961423720506977	0 2 24 26 54 56 90 92 150 152 180 182	-12076386330
TPT(14)	18961426744771697	0 2 30 32 60 62 102 104 114 116 132 134 240 242	-9052121610
SPT(14)	18961453870328609	0 2 38 72 78 90 92 168 170 182 188 222 258 260	18073435302
SPT(14)	18961460324100181	0 46 52 70 88 96 118 150 172 180 198 216 222 268	24527206874
SPT(14)	18961461406377629	0 12 44 68 90 98 110 132 144 152 174 198 230 242	25609484322
SPT(14)	18961462415780809	0 40 84 112 124 130 150 172 192 198 210 238 282 322	26618887502
SPT(14)	18961477042064551	0 10 12 40 78 82 88 102 108 112 150 178 180 190	41245171244