Prime p₀= 2493790128259244027 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 58 2 22 2 16 2 28 2 (?)
a_n: 0 2 42 44 120 122 180 182 204 206 222 224 252 254
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: 254
Found by: JayPi
db: batch=82, k=14, 40 76 58 22 16 28

SPT(16)	2493788334361007471	0 20 68 72 86 98 132 176 342 386 420 432 446 450 498 518	-1793898236556
SPT(16)	2493788431412543981	0 6 36 42 66 72 80 86 126 132 140 146 170 176 206 212	-1696846700046
SPT(16)	2493789266545217519	0 8 42 54 74 104 110 134 138 162 168 198 218 230 264 272	-861714026508
STPT(10)	2493789427611910691	0 2 6 8 48 50 90 92 96 98	-700647333336
STPT(10)	2493789638954561567	0 2 42 44 72 74 102 104 144 146	-489304682460
SPT(16)	2493790111524789349	0 4 28 48 60 84 90 94 174 178 184 208 220 240 264 268	-16734454678
SPT(16)	2493790465557969541	0 12 36 40 42 46 88 96 112 120 162 166 168 172 196 208	337298725514
TPT(14)	2493790471239427889	0 2 48 50 72 74 90 92 102 104 168 170 198 200	342980183862
SPT(16)	2493790489917831319	0 12 22 34 40 52 70 78 94 102 120 132 138 150 160 172	361658587292
SPT(16)	2493790823430505477	0 22 42 60 72 112 154 156 160 162 204 244 256 274 294 316	695171261450
TPT(14)	2493790976067703157	0 2 24 26 72 74 102 104 150 152 222 224 354 356	847808459130