Prime p₀= 2453162437591297589 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 58 2 10 2 88 2 46 2 (?)
a_n: 0 2 42 44 48 50 108 110 120 122 210 212 258 260
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: JayPi
db: batch=82, k=14, 40 4 58 10 88 46

SPT(16)	2453161419529848961	0 16 22 30 72 90 112 118 150 156 178 196 238 246 252 268	-1018061448628
SPT(18)	2453161460084355617	0 6 36 72 80 84 86 134 146 270 282 330 332 336 344 380 410 416	-977506941972
SPT(16)	2453161972164871039	0 10 24 42 64 72 78 108 154 184 190 198 220 238 252 262	-465426426550
STPT(10)	2453162105819737997	0 2 24 26 42 44 60 62 84 86	-331771559592
STPT(10)	2453162172021608189	0 2 18 20 30 32 42 44 60 62	-265569689400
STPT(10)	2453162344905353441	0 2 6 8 48 50 90 92 96 98	-92685944148
SPT(16)	2453162467368248771	0 6 36 42 62 90 92 102 200 210 212 240 260 266 296 302	29776951182
SPT(16)	2453162541617234371	0 30 42 58 72 78 106 148 150 192 220 226 240 256 268 298	104025936782
STPT(10)	2453163422126220821	0 2 96 98 138 140 180 182 276 278	984534923232
SPT(16)	2453163998713909409	0 8 12 68 78 104 140 152 210 222 258 284 294 350 354 362	1561122611820
SPT(16)	2453164115766270583	0 10 28 70 88 96 190 208 216 234 328 336 354 396 414 424	1678174972994