Prime p₀= 2311223841059430257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 58 2 16 2 52 2 64 2 28 2 (?)
a_n: 0 2 42 44 102 104 120 122 174 176 240 242 270 272
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: 272
Found by: FritzB
db: batch=81, k=14, 40 58 16 52 64 28

SPT(16)	2311222965355333163	0 8 30 56 80 134 170 194 210 234 270 324 348 374 396 404	-875704097094
STPT(10)	2311223177714680049	0 2 42 44 60 62 78 80 120 122	-663344750208
STPT(10)	2311223427859231181	0 2 6 8 18 20 30 32 36 38	-413200199076
STPT(10)	2311223614355296967	0 2 60 62 72 74 84 86 144 146	-226704133290
SPT(16)	2311223652682955407	0 12 22 40 64 90 102 124 210 232 244 270 294 312 322 334	-188376474850
STPT(10)	2311223697477773717	0 2 60 62 72 74 84 86 144 146	-143581656540
SPT(16)	2311224079364682481	0 18 28 30 42 88 130 132 136 138 180 226 238 240 250 268	238305252224
SPT(16)	2311224522796998859	0 22 24 40 70 84 94 102 172 180 190 204 234 250 252 274	681737568602
TPT(14)	2311224692944790759	0 2 12 14 78 80 222 224 300 302 402 404 432 434	851885360502
SPT(16)	2311224697592175977	0 50 66 72 86 104 156 164 222 230 282 300 314 320 336 386	856532745720
STPT(10)	2311224719167130477	0 2 60 62 72 74 84 86 144 146	878107700220