Prime p₀= 2499398555730345887 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 52 2 148 2 4 2 52 2 28 2 (?)
a_n: 0 2 90 92 144 146 294 296 300 302 354 356 384 386
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: 386
Found by: JayPi
db: batch=82, k=14, 88 52 148 4 52 28

TPT(14)	2499396857413295207	0 2 12 14 54 56 90 92 102 104 132 134 174 176	-1698317050680
SPT(16)	2499397213720269377	0 12 62 86 92 110 126 132 140 146 162 180 186 210 260 272	-1342010076510
STPT(10)	2499397743292175819	0 2 30 32 60 62 90 92 120 122	-812438170068
SPT(16)	2499398049870186973	0 6 36 40 58 88 118 120 124 126 156 186 204 208 238 244	-505860158914
STPT(10)	2499398181838242077	0 2 30 32 42 44 54 56 84 86	-373892103810
STPT(10)	2499398501889642851	0 2 36 38 78 80 120 122 156 158	-53840703036
SPT(16)	2499398673575403641	0 12 42 66 72 96 126 132 150 156 186 210 216 240 270 282	117845057754
SPT(16)	2499399257091608033	0 56 96 120 138 164 198 200 204 206 240 266 284 308 348 404	701361262146
STPT(10)	2499399283614789371	0 2 6 8 48 50 90 92 96 98	727884443484
STPT(10)	2499399600681814289	0 2 18 20 30 32 42 44 60 62	1044951468402
SPT(16)	2499399971669221363	0 18 28 46 70 100 166 168 208 210 276 306 330 348 358 376	1415938875476