Prime p₀= 950521393138387121 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 88 2 4 2 58 2 10 2 16 2 (?)
a_n: 0 2 30 32 120 122 126 128 186 188 198 200 216 218
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: 218
Found by: stoneageman
db: batch=76, k=14, 28 88 4 58 10 16

SPT(16)	950519256091894823	0 36 60 98 146 188 206 210 224 228 246 288 336 374 398 434	-2137046492298
STPT(10)	950520050490872957	0 2 30 32 42 44 54 56 84 86	-1342647514164
SPT(16)	950520274824017749	0 18 150 210 220 244 264 288 304 328 348 372 382 442 574 592	-1118314369372
STPT(10)	950520615377837561	0 2 36 38 78 80 120 122 156 158	-777760549560
SPT(16)	950520998282722729	0 22 48 70 78 100 114 130 132 148 162 184 192 214 240 262	-394855664392
SPT(16)	950521159270502059	0 28 42 52 78 88 118 120 142 144 174 184 210 220 234 262	-233867885062
STPT(10)	950521393976973821	0 2 36 38 78 80 120 122 156 158	838586700
STPT(10)	950521397674407701	0 2 6 8 18 20 30 32 36 38	4536020580
SPT(16)	950521411063779161	0 6 62 66 132 158 182 192 266 276 300 326 392 396 452 458	17925392040
STPT(10)	950522300618691221	0 2 36 38 78 80 120 122 156 158	907480304100
TPT(14)	950522321019555197	0 2 12 14 84 86 90 92 132 134 240 242 270 272	927881168076