Prime p₀= 947850480620985959 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 88 2 4 2 22 2 46 2 130 2 (?)
a_n: 0 2 42 44 132 134 138 140 162 164 210 212 342 344
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: 344
Found by: Spectrum
db: batch=76, k=14, 40 88 4 22 46 130

SPT(16)	947850035068556381	0 6 66 68 80 90 98 108 128 138 146 156 168 170 230 236	-445552429578
STPT(10)	947850178534637639	0 2 18 20 30 32 42 44 60 62	-302086348320
SPT(16)	947850218018188729	0 28 48 102 112 132 150 234 238 322 340 360 370 424 444 472	-262602797230
SPT(16)	947850256059809447	0 42 60 90 92 104 120 122 354 356 372 384 386 416 434 476	-224561176512
STPT(10)	947850291220204049	0 2 18 20 30 32 42 44 60 62	-189400781910
STPT(10)	947850296642190839	0 2 18 20 30 32 42 44 60 62	-183978795120
STPT(10)	947850908545219529	0 2 48 50 90 92 132 134 180 182	427924233570
STPT(10)	947851000271134871	0 2 6 8 18 20 30 32 36 38	519650148912
SPT(18)	947851039661268277	0 12 16 42 72 90 94 112 120 196 204 222 226 244 274 300 304 316	559040282318
SPT(16)	947851060999927517	0 20 24 56 80 86 90 144 212 266 270 276 300 332 336 356	580378941558
TPT(14)	947851225095219659	0 2 60 62 90 92 132 134 198 200 222 224 240 242	744474233700