Prime p₀= 2602681078442235209 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 82 2 4 2 40 2 16 2 40 2 (?)
a_n: 0 2 18 20 102 104 108 110 150 152 168 170 210 212
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: 212
Found by: JayPi
db: batch=82, k=14, 16 82 4 40 16 40

SPT(16)	2602679561089207109	0 12 54 90 98 104 122 158 174 210 228 234 242 278 320 332	-1517353028100
SPT(16)	2602680156204773719	0 12 64 84 100 118 180 184 228 232 294 312 328 348 400 412	-922237461490
SPT(16)	2602680187874593949	0 14 20 30 42 50 84 90 122 128 162 170 182 192 198 212	-890567641260
SPT(16)	2602680288662955661	0 30 42 58 88 102 118 132 136 150 166 180 210 226 238 268	-789779279548
SPT(16)	2602680325935311257	0 6 12 60 76 102 184 216 250 282 364 390 406 454 460 466	-752506923952
STPT(10)	2602680460011388457	0 2 30 32 42 44 54 56 84 86	-618430846752
SPT(18)	2602681325084734393	0 10 66 76 78 108 168 178 190 264 276 286 346 376 378 388 444 454	246642499184
SPT(16)	2602681515019686983	0 24 36 56 60 80 84 110 234 260 264 284 288 308 320 344	436577451774
SPT(16)	2602681813125173779	0 42 58 60 84 88 114 154 168 208 234 238 262 264 280 322	734682938570
SPT(16)	2602681892834372179	0 18 52 84 120 174 178 180 202 204 208 262 298 330 364 382	814392136970
TPT(14)	2602682333748493541	0 2 138 140 180 182 198 200 228 230 276 278 360 362	1255306258332