Prime p₀= 1345924349880518867 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 16 2 28 2 82 2 148 2 (?)
a_n: 0 2 30 32 42 44 60 62 90 92 174 176 324 326
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: 326
Found by: Theadalus
db: batch=77, k=14, 28 10 16 28 82 148

SPT(20)	1345923586349291353	0 4 6 34 88 106 108 118 136 150 274 288 306 316 318 336 390 418 420 424	-763531227514
STPT(10)	1345923647282950829	0 2 78 80 120 122 162 164 240 242	-702597568038
TPT(14)	1345923755850896567	0 2 42 44 90 92 120 122 132 134 174 176 270 272	-594029622300
STPT(12)	1345923957783301361	0 2 36 38 48 50 78 80 90 92 126 128	-392097217506
SPT(16)	1345924162899940237	0 40 52 64 96 102 106 126 190 210 214 220 252 264 276 316	-186980578630
SPT(16)	1345924198177087567	0 52 70 100 112 202 252 276 286 310 360 450 462 492 510 562	-151703431300
STPT(10)	1345924423786485791	0 2 66 68 108 110 150 152 216 218	73905966924
SPT(18)	1345924837927557203	0 38 56 66 110 116 140 144 206 228 290 294 318 324 368 378 396 434	488047038336
SPT(13)	1345924927346344577	0 24 84 96 114 126 180 234 246 264 276 336 360	577465825710
STPT(12)	1345925148719821097	0 2 24 26 30 32 234 236 240 242 264 266	798839302230
SPT(16)	1345925232232721627	0 2 42 86 134 152 156 170 186 200 204 222 270 314 354 356	882352202760