Prime p₀= 1082136848472797597 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 58 2 70 2 94 2 70 2 46 2 (?)
a_n: 0 2 42 44 102 104 174 176 270 272 342 344 390 392
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: 392
Found by: stoneageman
db: batch=76, k=14, 40 58 70 94 70 46

SPT(16)	1082135203623603749	0 2 20 48 68 90 104 132 140 168 182 204 224 252 270 272	-1644849193848
SPT(16)	1082135294681470987	0 52 70 72 214 222 240 262 312 334 352 360 502 504 522 574	-1553791326610
SPT(16)	1082135988826342721	0 8 32 66 90 126 146 176 192 222 242 278 302 336 360 368	-859646454876
STPT(10)	1082136159019955861	0 2 6 8 48 50 90 92 96 98	-689452841736
SPT(16)	1082136301827750647	0 20 32 56 62 66 92 102 104 114 140 144 150 174 186 206	-546645046950
STPT(10)	1082136403647044069	0 2 18 20 60 62 102 104 120 122	-444825753528
SPT(16)	1082136928998452837	0 6 14 20 72 144 170 174 182 186 212 284 336 342 350 356	80525655240
SPT(16)	1082137065029752177	0 10 12 40 42 76 132 166 216 250 306 340 342 370 372 382	216556954580
SPT(16)	1082137139218761203	0 26 30 56 78 86 96 138 158 200 210 218 240 266 270 296	290745963606
STPT(10)	1082137359413071019	0 2 42 44 60 62 78 80 120 122	510940273422
STPT(10)	1082137728445366517	0 2 12 14 42 44 72 74 84 86	879972568920