Prime p₀= 2359058100636349577 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 46 2 118 2 76 2 40 2 88 2 (?)
a_n: 0 2 84 86 132 134 252 254 330 332 372 374 462 464
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: 464
Found by: conf [MM]
db: batch=81, k=14, 82 46 118 76 40 88

SPT(16)	2359057000998443813	0 68 74 86 90 104 114 138 176 200 210 224 228 240 246 314	-1099637905764
SPT(16)	2359057089570204977	0 20 30 44 50 56 66 92 204 230 240 246 252 266 276 296	-1011066144600
SPT(16)	2359057288125349853	0 20 26 96 108 140 158 170 294 306 324 356 368 438 444 464	-812510999724
SPT(16)	2359057603685138563	0 28 30 48 114 126 160 180 184 204 238 250 316 334 336 364	-496951211014
SPT(16)	2359057726583215807	0 10 24 30 42 52 90 142 144 196 234 244 256 262 276 286	-374053133770
STPT(10)	2359057900750866779	0 2 48 50 60 62 72 74 120 122	-199885482798
STPT(10)	2359058594223402341	0 2 6 8 48 50 90 92 96 98	493587052764
SPT(16)	2359058604746215441	0 6 10 12 60 72 112 166 186 240 280 292 340 342 346 352	504109865864
SPT(16)	2359058629110602687	0 2 6 56 60 92 116 126 176 186 210 242 246 296 300 302	528474253110
STPT(10)	2359058737058697407	0 2 24 26 42 44 60 62 84 86	636422347830
SPT(16)	2359058791693416811	0 18 66 76 88 120 168 190 258 280 328 360 372 382 430 448	691057067234