Prime p₀= 2765487210751424657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 70 2 16 2 10 2 148 2 (?)
a_n: 0 2 42 44 120 122 192 194 210 212 222 224 372 374
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: 374
Found by: JayPi
db: batch=82, k=14, 40 76 70 16 10 148

SPT(16)	2765485644634925629	0 72 118 120 138 148 174 198 214 238 264 274 292 294 340 412	-1566116499028
TPT(14)	2765485820310779381	0 2 6 8 138 140 168 170 180 182 186 188 228 230	-1390440645276
TPT(14)	2765486168079288749	0 2 30 32 42 44 102 104 132 134 168 170 252 254	-1042672135908
STPT(10)	2765486682793631297	0 2 54 56 72 74 90 92 144 146	-527957793360
SPT(16)	2765486793538716383	0 6 104 110 114 140 156 174 386 404 420 446 450 456 554 560	-417212708274
SPT(16)	2765487083513510789	0 20 32 42 68 80 108 122 168 182 210 222 248 258 270 290	-127237913868
SPT(16)	2765487404324450341	0 28 78 118 120 130 142 162 196 216 228 238 240 280 330 358	193573025684
SPT(16)	2765487593937247919	0 18 48 62 98 122 150 164 168 182 210 234 270 284 314 332	383185823262
STPT(10)	2765487659218935191	0 2 30 32 78 80 126 128 156 158	448467510534
SPT(16)	2765488205976967847	0 36 50 60 102 120 126 176 216 266 272 290 332 342 356 392	995225543190
STPT(10)	2765488280288380637	0 2 12 14 42 44 72 74 84 86	1069536955980