Prime p₀= 2494116829278699071 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 118 2 40 2 40 2 94 2 (?)
a_n: 0 2 30 32 66 68 186 188 228 230 270 272 366 368
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: 368
Found by: [SG]ATA-Rolf
db: batch=82, k=14, 28 34 118 40 40 94

SPT(16)	2494114680169513663	0 10 54 64 70 120 190 216 238 264 334 384 390 400 444 454	-2149109185408
SPT(18)	2494114710362451461	0 6 8 20 32 60 62 80 98 270 288 306 308 336 348 360 362 368	-2118916247610
SPT(16)	2494116039339006007	0 4 24 52 60 94 154 202 204 252 312 346 354 382 402 406	-789939693064
SPT(16)	2494116049726611091	0 22 112 118 162 172 190 196 222 228 246 256 300 306 396 418	-779552087980
SPT(16)	2494116291399999499	0 58 70 72 88 150 192 228 244 280 322 384 400 402 414 472	-537878699572
STPT(10)	2494116676857480341	0 2 6 8 18 20 30 32 36 38	-152421218730
STPT(10)	2494116903120777887	0 2 30 32 42 44 54 56 84 86	73842078816
SPT(16)	2494117285932801821	0 8 48 66 92 120 140 146 162 168 188 216 242 260 300 308	456654102750
STPT(10)	2494117423450923869	0 2 18 20 30 32 42 44 60 62	594172224798
STPT(12)	2494117524597412601	0 2 18 20 60 62 96 98 138 140 156 158	695318713530
SPT(16)	2494117557824365261	0 10 22 40 46 112 150 178 180 208 246 312 318 336 348 358	728545666190