Prime p₀= 2879879195598159191 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 58 2 178 2 130 2 40 2 34 2 (?)
a_n: 0 2 6 8 66 68 246 248 378 380 420 422 456 458
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: 458
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 4 58 178 130 40 34

STPT(10)	2879877722024478191	0 2 30 32 78 80 126 128 156 158	-1473573681000
SPT(16)	2879877882563651267	0 2 36 102 152 156 182 210 212 240 266 270 320 386 420 422	-1313034507924
SPT(16)	2879878473796490057	0 24 62 72 156 180 212 254 402 444 476 500 584 594 632 656	-721801669134
SPT(16)	2879878513899944569	0 4 28 60 148 168 180 204 214 238 250 270 358 390 414 418	-681698214622
STPT(10)	2879878930857319421	0 2 30 32 60 62 90 92 120 122	-264740839770
STPT(10)	2879878989364838471	0 2 6 8 48 50 90 92 96 98	-206233320720
STPT(10)	2879879704593179537	0 2 60 62 72 74 84 86 144 146	508995020346
STPT(10)	2879879721158525381	0 2 6 8 18 20 30 32 36 38	525560366190
STPT(10)	2879880073848986177	0 2 54 56 132 134 210 212 264 266	878250826986
SPT(16)	2879880452193948851	0 18 36 42 48 90 120 170 228 278 308 350 356 362 380 398	1256595789660
STPT(10)	2879880879124992857	0 2 90 92 102 104 114 116 204 206	1683526833666