Prime p₀= 876176129483186639 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 58 2 40 2 28 2 34 2 (?)
a_n: 0 2 18 20 30 32 90 92 132 134 162 164 198 200
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: 200
Found by: RFGuy_KCCO
db: batch=73, k=14, 16 10 58 40 28 34

SPT(16)	876174642704704073	0 14 20 24 54 78 164 168 176 180 266 290 320 324 330 344	-1486778482566
SPT(16)	876175009944478249	0 4 22 48 78 102 148 150 172 174 220 244 274 300 318 322	-1119538708390
SPT(18)	876175507990652761	0 22 28 66 78 82 126 132 160 168 196 202 246 250 262 300 306 328	-621492533878
SPT(16)	876175759792156913	0 6 68 74 84 96 110 180 194 264 278 290 300 306 368 374	-369691029726
SPT(18)	876175943698447037	0 2 20 24 32 84 140 156 192 224 260 276 332 384 392 396 414 416	-185784739602
SPT(16)	876176016357040727	0 6 12 14 54 96 116 146 180 210 230 272 312 314 320 326	-113126145912
STPT(10)	876176286856494971	0 2 6 8 48 50 90 92 96 98	157373308332
SPT(16)	876176520096661123	0 4 18 70 106 114 118 126 148 156 160 168 204 256 270 274	390613474484
SPT(16)	876176659642857311	0 12 48 116 126 138 156 170 198 212 230 242 252 320 356 368	530159670672
TPT(14)	876176707182367049	0 2 18 20 30 32 60 62 90 92 138 140 180 182	577699180410
SPT(16)	876176912366858489	0 18 38 62 90 98 102 162 170 230 234 242 270 294 314 332	782883671850