Prime p₀= 1941842198723330777 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 250 2 10 2 16 2 70 2 34 2 40 2 (?)
a_n: 0 2 252 254 264 266 282 284 354 356 390 392 432 434
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: 434
Found by: Josemi
db: batch=80, k=14, 250 10 16 70 34 40

SPT(16)	1941841299858403441	0 12 16 18 40 58 66 88 120 142 150 168 190 192 196 208	-898864927336
SPT(16)	1941841449150565793	0 36 54 110 138 140 146 150 164 168 174 176 204 260 278 314	-749572764984
SPT(16)	1941841683401726791	0 6 58 60 72 76 88 90 178 180 192 196 208 210 262 268	-515321603986
STPT(10)	1941841794841168247	0 2 24 26 42 44 60 62 84 86	-403882162530
SPT(16)	1941842101821562333	0 46 60 84 106 126 148 178 246 276 298 318 340 364 378 424	-96901768444
STPT(10)	1941842174957853977	0 2 54 56 72 74 90 92 144 146	-23765476800
SPT(16)	1941842367666828533	0 20 26 30 56 74 84 126 158 200 210 228 254 258 264 284	168943497756
SPT(16)	1941842589707294591	0 126 140 162 168 182 188 206 342 360 366 380 386 408 422 548	390983963814
SPT(16)	1941843723515201557	0 16 76 100 126 132 150 160 336 346 364 370 396 420 480 496	1524791870780
STPT(10)	1941843738365303987	0 2 30 32 42 44 54 56 84 86	1539641973210
STPT(10)	1941843917919453641	0 2 36 38 78 80 120 122 156 158	1719196122864