Prime p₀= 2285291539018601717 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 100 2 40 2 34 2 58 2 (?)
a_n: 0 2 30 32 60 62 162 164 204 206 240 242 300 302
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: 302
Found by: Orange Kid
db: batch=81, k=14, 28 28 100 40 34 58

SPT(16)	2285288757706637303	0 8 14 20 48 54 78 90 98 110 134 140 168 174 180 188	-2781311964414
SPT(13)	2285289862427098343	0 36 60 66 144 150 270 390 396 474 480 504 540	-1676591503374
STPT(10)	2285290373439820889	0 2 18 20 30 32 42 44 60 62	-1165578780828
STPT(10)	2285290927114224941	0 2 6 8 18 20 30 32 36 38	-611904376776
SPT(16)	2285291241498365041	0 6 12 78 106 132 142 156 172 186 196 222 250 316 322 328	-297520236676
STPT(10)	2285291482115711981	0 2 6 8 18 20 30 32 36 38	-56902889736
SPT(16)	2285291618386860073	0 70 96 174 180 210 240 246 418 424 454 484 490 568 594 664	79368258356
TPT(14)	2285292116916550517	0 2 24 26 72 74 144 146 150 152 240 242 252 254	577897948800
SPT(16)	2285292309799477333	0 46 66 84 108 124 144 150 154 160 180 196 220 238 258 304	770780875616
SPT(16)	2285292551118958699	0 52 58 70 118 148 160 168 184 192 204 234 282 294 300 352	1012100356982
STPT(10)	2285293321074376367	0 2 60 62 72 74 84 86 144 146	1782055774650