Prime p₀= 2955354571442045891 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 4 2 118 2 172 2 28 2 (?)
a_n: 0 2 30 32 60 62 66 68 186 188 360 362 390 392
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: Orange Kid
db: batch=82, k=14, 28 28 4 118 172 28

SPT(16)	2955352969153049599	0 60 114 144 180 184 190 198 220 228 234 238 274 304 358 418	-1602288996292
TPT(14)	2955353327591766977	0 2 12 14 54 56 120 122 150 152 192 194 234 236	-1243850278914
STPT(10)	2955354185797010027	0 2 30 32 60 62 90 92 120 122	-385645035864
SPT(16)	2955354218139970039	0 4 40 54 64 78 130 148 210 228 280 294 304 318 354 358	-353302075852
SPT(16)	2955354251804183171	0 12 20 60 66 90 116 120 122 126 152 176 182 222 230 242	-319637862720
SPT(16)	2955354325830047681	0 78 80 96 180 200 212 218 270 276 288 308 392 408 410 488	-245611998210
TPT(14)	2955354576799937729	0 2 42 44 72 74 138 140 222 224 228 230 258 260	5357891838
SPT(16)	2955354627526468721	0 8 42 72 108 210 218 276 302 360 368 470 506 536 570 578	56084422830
STPT(10)	2955354816551748407	0 2 24 26 42 44 60 62 84 86	245109702516
SPT(16)	2955354858212212681	0 36 52 66 78 196 220 228 280 288 312 430 442 456 472 508	286770166790
STPT(10)	2955355031480554457	0 2 30 32 42 44 54 56 84 86	460038508566