Prime p₀= 2276789147462758961 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 82 2 34 2 52 2 34 2 22 2 (?)
a_n: 0 2 6 8 90 92 126 128 180 182 216 218 240 242
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: 242
Found by: JayPi
db: batch=81, k=14, 4 82 34 52 34 22

SPT(16)	2276787738529304069	0 20 24 54 62 84 90 102 110 122 128 150 158 188 192 212	-1408933454892
SPT(16)	2276787746851954799	0 30 80 84 92 102 162 192 260 290 350 360 368 372 422 452	-1400610804162
SPT(16)	2276787950347520299	0 28 40 118 120 130 132 138 154 160 162 172 174 252 264 292	-1197115238662
SPT(16)	2276788186319311801	0 16 28 48 66 96 118 120 196 198 220 250 268 288 300 316	-961143447160
SPT(16)	2276788432950903947	0 6 36 60 74 104 116 152 294 330 342 372 386 410 440 446	-714511855014
STPT(10)	2276788833214281479	0 2 18 20 30 32 42 44 60 62	-314248477482
SPT(16)	2276789270219759909	0 78 98 104 132 138 152 174 188 210 224 230 258 264 284 362	122757000948
SPT(16)	2276789341650627437	0 32 36 74 104 176 204 210 236 242 270 342 372 410 414 446	194187868476
SPT(16)	2276789485099741681	0 18 42 60 132 136 142 156 172 186 192 196 268 286 310 328	337636982720
STPT(10)	2276789523262212851	0 2 138 140 168 170 198 200 336 338	375799453890
SPT(16)	2276789852678670871	0 10 72 126 138 142 178 202 216 240 276 280 292 346 408 418	705215911910