Prime p₀= 2993105791515439931 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 64 2 118 2 172 2 16 2 16 2 (?)
a_n: 0 2 60 62 126 128 246 248 420 422 438 440 456 458
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: 458
Found by: JonS
db: batch=82, k=14, 58 64 118 172 16 16

STPT(10)	2993104547828037701	0 2 36 38 78 80 120 122 156 158	-1243687402230
STPT(10)	2993104641975268697	0 2 30 32 60 62 90 92 120 122	-1149540171234
SPT(16)	2993104660040150599	0 30 58 60 84 144 168 172 180 184 208 268 292 294 322 352	-1131475289332
SPT(16)	2993105146910345321	0 26 50 110 126 140 150 186 260 296 306 320 336 396 420 446	-644605094610
STPT(10)	2993105616983070179	0 2 42 44 90 92 138 140 180 182	-174532369752
STPT(12)	2993105745353272721	0 2 18 20 30 32 198 200 210 212 228 230	-46162167210
STPT(10)	2993106162589031297	0 2 54 56 72 74 90 92 144 146	371073591366
SPT(16)	2993106383732946853	0 60 94 120 126 168 186 208 276 298 316 358 364 390 424 484	592217506922
STPT(10)	2993106455971860797	0 2 72 74 162 164 252 254 324 326	664456420866
SPT(16)	2993106757097989237	0 4 10 16 34 54 72 102 124 154 172 192 210 216 222 226	965582549306
SPT(16)	2993106851328474427	0 10 16 70 84 96 100 136 144 180 184 196 210 264 270 280	1059813034496