Prime p₀= 2834959259583512981 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 52 2 64 2 88 2 10 2 40 2 (?)
a_n: 0 2 96 98 150 152 216 218 306 308 318 320 360 362
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: 362
Found by: JayPi
db: batch=82, k=14, 94 52 64 88 10 40

SPT(16)	2834956541305147307	0 24 54 96 144 192 210 224 252 266 284 332 380 422 452 476	-2718278365674
STPT(10)	2834957652308935289	0 2 42 44 90 92 138 140 180 182	-1607274577692
STPT(10)	2834958329253345479	0 2 30 32 60 62 90 92 120 122	-930330167502
STPT(10)	2834958341794846019	0 2 18 20 30 32 42 44 60 62	-917788666962
TPT(16)	2834958468112410839	0 2 12 14 78 80 138 140 168 170 192 194 222 224 348 350	-791471102142
SPT(16)	2834959049493542567	0 14 60 74 164 194 242 252 404 414 462 492 582 596 642 656	-210089970414
STPT(10)	2834959615384255031	0 2 30 32 78 80 126 128 156 158	355800742050
SPT(16)	2834960150890121953	0 46 48 54 66 70 84 88 96 100 114 118 130 136 138 184	891306608972
SPT(16)	2834960335431289097	0 2 14 30 50 54 110 126 140 156 212 216 236 252 264 266	1075847776116
SPT(16)	2834960350219509671	0 20 66 110 152 186 306 312 356 362 482 516 558 602 648 668	1090635996690
STPT(10)	2834960830939119431	0 2 6 8 48 50 90 92 96 98	1571355606450