Prime p₀= 2628057154621218491 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 112 2 16 2 10 2 58 2 34 2 (?)
a_n: 0 2 6 8 120 122 138 140 150 152 210 212 246 248
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: 248
Found by: RFGuy_KCCO
db: batch=82, k=14, 4 112 16 10 58 34

SPT(16)	2628056115959949839	0 38 42 72 80 120 132 138 164 170 182 222 230 260 264 302	-1038661268652
SPT(16)	2628056122705678493	0 6 26 38 48 86 110 140 204 234 258 296 306 318 338 344	-1031915539998
SPT(16)	2628056234638802939	0 14 72 80 114 144 174 228 254 308 338 368 402 410 468 482	-919982415552
STPT(10)	2628056333742460007	0 2 90 92 102 104 114 116 204 206	-820878758484
SPT(16)	2628057031160677019	0 2 12 114 144 164 180 194 198 212 228 248 278 380 390 392	-123460541472
STPT(10)	2628057061902874211	0 2 36 38 78 80 120 122 156 158	-92718344280
STPT(10)	2628057279900408911	0 2 36 38 78 80 120 122 156 158	125279190420
SPT(16)	2628057601645865201	0 8 60 80 86 98 108 128 150 170 180 192 198 218 270 278	447024646710
STPT(10)	2628057615583718951	0 2 6 8 48 50 90 92 96 98	460962500460
SPT(16)	2628057960020511383	0 24 60 68 110 114 170 176 228 234 290 294 336 344 380 404	805399292892
STPT(10)	2628058104414542279	0 2 18 20 30 32 42 44 60 62	949793323788