Prime p₀= 2953910766060716417 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 70 2 16 2 148 2 28 2 10 2 (?)
a_n: 0 2 42 44 114 116 132 134 282 284 312 314 324 326
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: 326
Found by: Orange Kid
db: batch=82, k=14, 40 70 16 148 28 10

STPT(10)	2953909737193946987	0 2 30 32 42 44 54 56 84 86	-1028866769430
SPT(16)	2953909765281630781	0 42 52 70 106 112 118 142 216 240 246 252 288 306 316 358	-1000779085636
STPT(10)	2953909894500464951	0 2 6 8 18 20 30 32 36 38	-871560251466
SPT(16)	2953910212129477567	0 10 40 72 82 102 142 150 172 180 220 240 250 282 312 322	-553931238850
SPT(16)	2953910443283469931	0 16 22 30 46 48 72 78 100 106 130 132 148 156 162 178	-322777246486
SPT(16)	2953910716292693173	0 46 58 64 66 70 130 136 168 174 234 238 240 246 258 304	-49768023244
SPT(16)	2953910955560267393	0 6 26 54 80 96 126 138 236 248 278 294 320 348 368 374	189499550976
SPT(16)	2953910970787433213	0 18 50 68 74 84 170 200 264 294 380 390 396 414 446 464	204726716796
SPT(16)	2953911109107954781	0 16 42 58 102 106 112 126 172 186 192 196 240 256 282 298	343047238364
STPT(10)	2953911622104378497	0 2 42 44 72 74 102 104 144 146	856043662080
TPT(16)	2953911973908279257	0 2 42 44 84 86 144 146 234 236 240 242 324 326 432 434	1207847562840