Prime p₀= 2692581830807612279 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 124 2 52 2 28 2 28 2 (?)
a_n: 0 2 42 44 72 74 198 200 252 254 282 284 312 314
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: 314
Found by: JayPi
db: batch=82, k=14, 40 28 124 52 28 28

SPT(16)	2692580709617900701	0 28 42 78 118 132 160 162 166 168 196 210 250 286 300 328	-1121189711578
STPT(10)	2692580716172416871	0 2 6 8 48 50 90 92 96 98	-1114635195408
SPT(16)	2692581080819921017	0 6 34 46 84 90 96 154 156 214 220 226 264 276 304 310	-749987691262
STPT(10)	2692581508476713219	0 2 42 44 60 62 78 80 120 122	-322330899060
STPT(10)	2692581644840267357	0 2 60 62 72 74 84 86 144 146	-185967344922
STPT(10)	2692581801744574709	0 2 12 14 30 32 48 50 60 62	-29063037570
SPT(16)	2692581838076051177	0 26 42 50 54 92 114 116 180 182 204 242 246 254 270 296	7268438898
SPT(16)	2692582285892381513	0 38 44 120 140 186 204 206 288 290 308 354 374 450 456 494	455084769234
STPT(10)	2692582603918085741	0 2 36 38 78 80 120 122 156 158	773110473462
SPT(16)	2692582649650407187	0 10 16 24 102 112 192 196 270 274 354 364 442 450 456 466	818842794908
STPT(10)	2692583013247098149	0 2 12 14 90 92 168 170 180 182	1182439485870