Prime p₀= 1144319952029437409 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 148 2 28 2 58 2 22 2 16 2 (?)
a_n: 0 2 48 50 198 200 228 230 288 290 312 314 330 332
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: 332
Found by: Putin Has a Small Dick
db: batch=76, k=14, 46 148 28 58 22 16

SPT(16)	1144318423601414791	0 66 72 88 126 130 142 160 168 186 198 202 240 256 262 328	-1528428022618
TPT(14)	1144318870887845507	0 2 84 86 180 182 192 194 204 206 252 254 294 296	-1081141591902
SPT(16)	1144319288796076487	0 2 12 14 30 42 44 80 84 120 122 134 150 152 162 164	-663233360922
STPT(10)	1144319336673757997	0 2 30 32 42 44 54 56 84 86	-615355679412
SPT(16)	1144319488959563029	0 10 54 70 112 120 172 180 262 270 322 330 372 388 432 442	-463069874380
STPT(12)	1144319950934012687	0 2 30 32 72 74 90 92 132 134 162 164	-1095424722
SPT(16)	1144320129373812571	0 10 42 48 76 78 120 138 190 208 250 252 280 286 318 328	177344375162
SPT(16)	1144320665686291157	0 54 60 110 116 152 186 206 240 260 294 330 336 386 392 446	713656853748
STPT(10)	1144321009147347137	0 2 30 32 42 44 54 56 84 86	1057117909728
STPT(10)	1144321367559435797	0 2 30 32 42 44 54 56 84 86	1415529998388
STPT(10)	1144321520978353901	0 2 78 80 138 140 198 200 276 278	1568948916492