Prime p₀= 1572034619908371959 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 16 2 46 2 100 2 70 2 (?)
a_n: 0 2 60 62 72 74 90 92 138 140 240 242 312 314
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: 314
Found by: Skivelitis2
db: batch=78, k=14, 58 10 16 46 100 70

TPT(14)	1572032891047890179	0 2 18 20 150 152 252 254 270 272 282 284 390 392	-1728860481780
SPT(16)	1572033613693809661	0 6 16 30 76 108 136 156 160 180 208 240 286 300 310 316	-1006214562298
SPT(16)	1572033756989963623	0 30 46 48 58 76 90 126 130 166 180 198 208 210 226 256	-862918408336
SPT(16)	1572034282194752333	0 6 18 20 38 44 80 86 168 174 210 216 234 236 248 254	-337713619626
STPT(10)	1572034326853521857	0 2 42 44 72 74 102 104 144 146	-293054850102
SPT(16)	1572034342543567369	0 10 42 78 90 112 130 150 172 192 210 232 244 280 312 322	-277364804590
SPT(16)	1572034635732172553	0 18 36 56 74 96 120 200 204 284 308 330 348 368 386 404	15823800594
SPT(16)	1572034637204320633	0 10 18 24 28 66 84 88 126 130 148 186 190 196 204 214	17295948674
SPT(16)	1572034649776210727	0 6 32 56 72 126 132 170 216 254 260 314 330 354 380 386	29867838768
STPT(10)	1572034890316609097	0 2 30 32 42 44 54 56 84 86	270408237138
SPT(16)	1572035663778134683	0 18 46 108 118 160 174 226 228 280 294 336 346 408 436 454	1043869762724