Prime p₀= 1257929289061261079 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 94 2 70 2 16 2 22 2 16 2 (?)
a_n: 0 2 72 74 168 170 240 242 258 260 282 284 300 302
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: 302
Found by: xii5ku
db: batch=77, k=14, 70 94 70 16 22 16

SPT(16)	1257928781587247087	0 36 50 96 126 134 140 174 296 330 336 344 374 420 434 470	-507474013992
STPT(10)	1257928802658252971	0 2 36 38 78 80 120 122 156 158	-486403008108
STPT(10)	1257928833559724531	0 2 6 8 18 20 30 32 36 38	-455501536548
SPT(16)	1257929003079534287	0 12 24 32 54 60 74 80 84 90 104 110 132 140 152 164	-285981726792
SPT(16)	1257929028246187433	0 6 14 26 56 80 90 134 180 224 234 258 288 300 308 314	-260815073646
TPT(14)	1257929136349569527	0 2 54 56 60 62 114 116 240 242 270 272 312 314	-152711691552
STPT(10)	1257929634308803397	0 2 30 32 42 44 54 56 84 86	345247542318
STPT(10)	1257929679932425457	0 2 12 14 42 44 72 74 84 86	390871164378
STPT(10)	1257929751410316737	0 2 30 32 42 44 54 56 84 86	462349055658
STPT(10)	1257929859266609117	0 2 30 32 42 44 54 56 84 86	570205348038
SPT(16)	1257930672761299961	0 6 26 72 86 146 162 182 210 230 246 306 320 366 386 392	1383700038882