Prime p₀= 1257938681204044949 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 10 2 28 2 34 2 88 2 (?)
a_n: 0 2 42 44 90 92 102 104 132 134 168 170 258 260
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 260
Found by: mikey
db: batch=77, k=14, 40 46 10 28 34 88

TPT(14)	1257937424870256857	0 2 42 44 72 74 84 86 150 152 282 284 312 314	-1256333788092
SPT(16)	1257937591155532447	0 4 30 52 66 70 72 94 132 154 156 160 174 196 222 226	-1090048512502
STPT(10)	1257937765104565187	0 2 24 26 42 44 60 62 84 86	-916099479762
STPT(10)	1257937800347132087	0 2 30 32 42 44 54 56 84 86	-880856912862
SPT(16)	1257937862199718151	0 8 30 36 56 78 86 92 96 102 110 132 152 158 180 188	-819004326798
STPT(10)	1257938430163830377	0 2 30 32 42 44 54 56 84 86	-251040214572
SPT(16)	1257939135582483089	0 2 98 114 140 158 164 170 192 198 204 222 248 264 360 362	454378438140
STPT(10)	1257939430571296127	0 2 12 14 72 74 132 134 144 146	749367251178
STPT(10)	1257939772176916847	0 2 42 44 72 74 102 104 144 146	1090972871898
SPT(16)	1257939891137712301	0 22 28 30 60 78 120 126 172 178 220 238 268 270 276 298	1209933667352
SPT(16)	1257940201539224347	0 6 34 60 72 84 102 124 132 154 172 184 196 222 250 256	1520335179398