Prime p₀= 2118281525105760569 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 28 2 46 2 112 2 46 2 (?)
a_n: 0 2 78 80 90 92 120 122 168 170 282 284 330 332
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: 332
Found by: Vato
db: batch=80, k=14, 76 10 28 46 112 46

SPT(16)	2118279950275158973	0 6 34 36 46 58 78 88 186 196 216 228 238 240 268 274	-1574830601596
SPT(16)	2118280313845346041	0 40 46 100 132 156 160 186 196 222 226 250 282 336 342 382	-1211260414528
STPT(12)	2118280346854862087	0 2 30 32 42 44 120 122 132 134 162 164	-1178250898482
STPT(12)	2118280480548568727	0 2 72 74 144 146 150 152 222 224 294 296	-1044557191842
SPT(16)	2118280605819089329	0 34 78 100 160 168 184 190 198 204 220 228 288 310 354 388	-919286671240
SPT(16)	2118281507166569863	0 34 48 126 144 184 186 196 198 208 210 250 268 346 360 394	-17939190706
STPT(10)	2118281696372971901	0 2 36 38 78 80 120 122 156 158	171267211332
STPT(10)	2118281752461157649	0 2 42 44 60 62 78 80 120 122	227355397080
STPT(10)	2118281805369689129	0 2 42 44 60 62 78 80 120 122	280263928560
STPT(10)	2118281856015973007	0 2 90 92 192 194 294 296 384 386	330910212438
TPT(14)	2118281945668055441	0 2 138 140 150 152 156 158 330 332 366 368 378 380	420562294872