Prime p₀= 3024776700349364201 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 88 2 40 2 64 2 88 2 (?)
a_n: 0 2 36 38 48 50 138 140 180 182 246 248 336 338
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: 338
Found by: [SG-FC] hl
db: batch=82, k=14, 34 10 88 40 64 88

SPT(16)	3024775928415848881	0 36 42 58 106 186 228 238 240 250 292 372 420 436 442 478	-771933515320
STPT(10)	3024776001317894189	0 2 42 44 60 62 78 80 120 122	-699031470012
SPT(16)	3024776150230840679	0 18 24 42 78 128 182 212 240 270 324 374 410 428 434 452	-550118523522
STPT(10)	3024776213195262731	0 2 6 8 18 20 30 32 36 38	-487154101470
STPT(10)	3024776219667983489	0 2 42 44 60 62 78 80 120 122	-480681380712
STPT(10)	3024776232571623329	0 2 48 50 60 62 72 74 120 122	-467777740872
SPT(16)	3024776737988933219	0 8 14 50 62 78 138 144 218 224 284 300 312 348 354 362	37639569018
SPT(16)	3024777131175188153	0 18 36 44 50 74 90 98 246 254 270 294 300 308 326 344	430825823952
SPT(16)	3024777285033999619	0 12 18 34 40 60 64 78 94 108 112 132 138 154 160 172	584684635418
SPT(16)	3024778565531455979	0 12 60 72 110 120 152 210 212 270 302 312 350 362 410 422	1865182091778
STPT(10)	3024778592607479759	0 2 18 20 30 32 42 44 60 62	1892258115558