Prime p₀= 741126813820637987 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 10 2 10 2 58 2 34 2 (?)
a_n: 0 2 12 14 30 32 42 44 54 56 114 116 150 152
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: 152
Found by: Theadalus
db: batch=73, k=14, 10 16 10 10 58 34

SPT(16)	741125682978409919	0 38 80 108 110 164 194 210 218 234 264 318 320 348 390 428	-1130842228068
SPT(16)	741125845606833787	0 52 72 112 162 190 234 276 370 412 456 484 534 574 594 646	-968213804200
STPT(10)	741125851385796089	0 2 12 14 90 92 168 170 180 182	-962434841898
SPT(16)	741126295153976317	0 54 82 102 120 144 180 202 222 244 280 304 322 342 370 424	-518666661670
STPT(12)	741126424768799747	0 2 12 14 30 32 54 56 72 74 84 86	-389051838240
STPT(10)	741126602649868049	0 2 18 20 30 32 42 44 60 62	-211170769938
STPT(10)	741126835863007367	0 2 54 56 72 74 90 92 144 146	22042369380
SPT(16)	741127033972194479	0 2 18 30 42 102 150 224 228 302 350 410 422 434 450 452	220151556492
SPT(16)	741127131042716263	0 24 76 84 96 136 150 156 178 184 198 238 250 258 310 334	317222078276
SPT(16)	741127509164779801	0 10 18 52 60 70 72 82 198 208 210 220 228 262 270 280	695344141814
SPT(16)	741127685693684669	0 74 84 98 102 144 164 188 294 318 338 380 384 398 408 482	871873046682