Prime p₀= 2862852509771254697 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 142 2 34 2 28 2 52 2 34 2 172 2 (?)
a_n: 0 2 144 146 180 182 210 212 264 266 300 302 474 476
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: 476
Found by: JayPi
db: batch=82, k=14, 142 34 28 52 34 172

SPT(16)	2862850924040088347	0 36 44 80 92 134 144 150 176 182 192 234 246 282 290 326	-1585731166350
STPT(10)	2862851362232944931	0 2 30 32 60 62 90 92 120 122	-1147538309766
STPT(10)	2862851480254907369	0 2 48 50 90 92 132 134 180 182	-1029516347328
SPT(16)	2862851641656887941	0 36 46 58 60 78 100 102 166 168 190 208 210 222 232 268	-868114366756
STPT(10)	2862851823116936921	0 2 6 8 48 50 90 92 96 98	-686654317776
STPT(10)	2862852341968589951	0 2 36 38 78 80 120 122 156 158	-167802664746
STPT(10)	2862852579026140529	0 2 48 50 90 92 132 134 180 182	69254885832
SPT(16)	2862852727350137957	0 32 36 44 56 86 96 134 162 200 210 240 252 260 264 296	217578883260
SPT(16)	2862852889335606619	0 12 22 34 64 70 78 88 114 124 132 138 168 180 190 202	379564351922
SPT(16)	2862853277618473511	0 8 72 108 128 150 186 242 246 302 338 360 380 416 480 488	767847218814
SPT(16)	2862853299034758721	0 16 18 28 48 72 108 126 202 220 256 280 300 310 312 328	789263504024