Prime p₀= 1949366295518324297 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 190 2 40 2 4 2 112 2 88 2 88 2 (?)
a_n: 0 2 192 194 234 236 240 242 354 356 444 446 534 536
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: 536
Found by: Landjunge
db: batch=80, k=14, 190 40 4 112 88 88

TPT(14)	1949365249081969949	0 2 18 20 42 44 228 230 240 242 282 284 378 380	-1046436354348
SPT(16)	1949365528078712701	0 6 28 52 90 96 102 130 138 166 172 178 216 240 262 268	-767439611596
STPT(10)	1949365580678443139	0 2 42 44 60 62 78 80 120 122	-714839881158
SPT(16)	1949365981206018637	0 16 22 52 54 96 124 126 190 192 220 262 264 294 300 316	-314312305660
SPT(16)	1949366072734643177	0 2 6 24 60 80 114 146 150 182 216 236 272 290 294 296	-222783681120
SPT(16)	1949366246200163939	0 14 38 42 78 84 122 140 162 180 218 224 260 264 288 302	-49318160358
SPT(16)	1949366360500790321	0 2 18 30 48 72 138 156 182 200 266 290 308 320 336 338	64982466024
SPT(16)	1949366585388936479	0 38 42 62 98 110 128 150 152 174 192 204 240 260 264 302	289870612182
SPT(16)	1949366988846837473	0 6 8 20 30 50 78 96 170 188 216 236 246 258 260 266	693328513176
SPT(16)	1949367055496426641	0 10 18 60 66 96 118 126 130 138 160 190 196 238 246 256	759978102344
SPT(16)	1949367151693388519	0 14 32 50 60 72 78 102 140 164 170 182 192 210 228 242	856175064222