Prime p₀= 869841440253615419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 88 2 46 2 28 2 10 2 40 2 (?)
a_n: 0 2 30 32 120 122 168 170 198 200 210 212 252 254
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: 254
Found by: jozef j
db: batch=73, k=14, 28 88 46 28 10 40

SPT(16)	869840181315889393	0 18 24 30 58 70 78 180 238 340 348 360 388 394 400 418	-1258937726026
TPT(14)	869840729299818161	0 2 18 20 90 92 210 212 216 218 306 308 378 380	-710953797258
SPT(16)	869841088556919769	0 10 12 30 34 52 54 132 142 220 222 240 244 262 264 274	-351696695650
STPT(10)	869841196279167989	0 2 30 32 60 62 90 92 120 122	-243974447430
TPT(14)	869841240054486857	0 2 84 86 120 122 150 152 174 176 264 266 300 302	-200199128562
SPT(16)	869841265105440281	0 8 26 38 42 56 68 80 108 120 132 146 150 162 180 188	-175148175138
SPT(16)	869841487067098373	0 20 24 44 78 80 84 90 164 170 174 176 210 230 234 254	46813482954
STPT(10)	869841556820596907	0 2 30 32 42 44 54 56 84 86	116566981488
STPT(10)	869841559743150497	0 2 24 26 42 44 60 62 84 86	119489535078
SPT(16)	869841926532811541	0 12 30 50 60 92 96 110 228 242 246 278 288 308 326 338	486279196122
STPT(10)	869842236468027341	0 2 36 38 78 80 120 122 156 158	796214411922