Prime p₀= 2494118447882055887 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 178 2 88 2 22 2 28 2 58 2 4 2 (?)
a_n: 0 2 180 182 270 272 294 296 324 326 384 386 390 392
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: 392
Found by: [SG]ATA-Rolf
db: batch=82, k=14, 178 88 22 28 58 4

SPT(16)	2494117557824365261	0 10 22 40 46 112 150 178 180 208 246 312 318 336 348 358	-890057690626
SPT(16)	2494118058620449021	0 10 18 22 48 66 70 78 220 228 232 250 276 280 288 298	-389261606866
SPT(16)	2494118137426737937	0 16 40 52 66 70 76 120 196 240 246 250 264 276 300 316	-310455317950
STPT(10)	2494118296891351937	0 2 42 44 72 74 102 104 144 146	-150990703950
SPT(16)	2494118331563695699	0 10 30 78 120 150 172 220 330 378 400 430 472 520 540 550	-116318360188
STPT(10)	2494118391139355417	0 2 84 86 132 134 180 182 264 266	-56742700470
SPT(16)	2494118572498428983	0 20 120 126 128 156 176 246 260 330 350 378 380 386 486 506	124616373096
STPT(10)	2494118792451865427	0 2 30 32 60 62 90 92 120 122	344569809540
SPT(16)	2494118938444821599	0 2 80 132 134 150 192 224 240 272 314 330 332 384 462 464	490562765712
SPT(18)	2494119199087639093	0 24 54 66 124 130 144 190 196 204 210 256 270 276 334 346 376 400	751205583206
SPT(16)	2494119316906075219	0 12 54 58 60 78 84 88 114 118 124 142 144 148 190 202	869024019332