Prime p₀= 2514123764529091469 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 46 2 76 2 10 2 10 2 (?)
a_n: 0 2 72 74 102 104 150 152 228 230 240 242 252 254
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, 70 28 46 76 10 10

SPT(16)	2514122777994629539	0 28 48 52 108 162 178 210 232 264 280 334 390 394 414 442	-986534461930
STPT(10)	2514123017594315987	0 2 30 32 72 74 114 116 144 146	-746934775482
STPT(10)	2514123170415174299	0 2 18 20 60 62 102 104 120 122	-594113917170
SPT(16)	2514123249565402889	0 12 18 42 78 102 122 140 222 240 260 284 320 344 350 362	-514963688580
SPT(16)	2514123543137794169	0 14 102 108 150 162 212 240 332 360 410 422 464 470 558 572	-221391297300
SPT(16)	2514123740001838949	0 32 48 92 110 134 144 152 210 218 228 252 270 314 330 362	-24527252520
SPT(16)	2514123868381608481	0 70 78 108 126 136 138 148 180 190 192 202 220 250 258 328	103852517012
STPT(10)	2514123872055262541	0 2 6 8 48 50 90 92 96 98	107526171072
STPT(10)	2514124197427454369	0 2 18 20 30 32 42 44 60 62	432898362900
STPT(10)	2514124487048383379	0 2 18 20 30 32 42 44 60 62	722519291910
STPT(10)	2514124566790423757	0 2 30 32 120 122 210 212 240 242	802261332288