Prime p₀= 2907187307585303627 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 106 2 58 2 10 2 106 2 46 2 (?)
a_n: 0 2 54 56 162 164 222 224 234 236 342 344 390 392
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: 392
Found by: Landjunge
db: batch=82, k=14, 52 106 58 10 106 46

SPT(16)	2907186307366242043	0 16 24 60 90 136 148 150 154 156 168 214 244 280 288 304	-1000219061584
SPT(16)	2907186354534456737	0 42 96 110 116 120 140 144 242 246 266 270 276 290 344 386	-953050846890
SPT(16)	2907186827278616341	0 18 30 40 70 90 132 138 160 166 208 228 258 268 280 298	-480306687286
SPT(16)	2907186891523517783	0 6 24 26 104 120 140 144 266 270 290 306 384 386 404 410	-416061785844
TPT(14)	2907187151024736971	0 2 96 98 138 140 210 212 318 320 408 410 486 488	-156560566656
SPT(16)	2907187300431834559	0 24 60 94 102 124 144 154 168 178 198 220 228 262 298 322	-7153469068
STPT(10)	2907187311444263357	0 2 42 44 72 74 102 104 144 146	3858959730
STPT(10)	2907187553004810371	0 2 6 8 18 20 30 32 36 38	245419506744
TPT(14)	2907187830272665001	0 2 108 110 150 152 270 272 348 350 408 410 558 560	522687361374
TPT(14)	2907188064365058371	0 2 30 32 216 218 366 368 498 500 540 542 546 548	756779754744
STPT(10)	2907188204480253179	0 2 48 50 90 92 132 134 180 182	896894949552