Prime p₀= 4365221459434924211 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 34 2 28 2 10 2 40 2 (?)
a_n: 0 2 48 50 90 92 126 128 156 158 168 170 210 212
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: 212
Found by: arkiss
db: batch=85, k=14, 46 40 34 28 10 40

SPT(16)	4365219144032785853	0 24 36 84 96 128 146 170 174 198 216 248 260 308 320 344	-2315402138358
SPT(16)	4365219146287691459	0 42 48 50 92 110 132 152 210 230 252 270 312 314 320 362	-2313147232752
SPT(16)	4365219994942435159	0 4 18 72 82 88 114 150 202 238 264 270 280 334 348 352	-1464492489052
STPT(10)	4365220121195504927	0 2 42 44 72 74 102 104 144 146	-1338239419284
SPT(16)	4365220338374227481	0 6 86 90 140 146 158 168 188 198 210 216 266 270 350 356	-1121060696730
SPT(13)	4365220755444920131	0 18 48 102 132 138 180 222 228 258 312 342 360	-703990004080
SPT(16)	4365221808924631847	0 24 56 92 134 150 156 164 222 230 236 252 294 330 362 386	349489707636
STPT(10)	4365221810132764907	0 2 60 62 72 74 84 86 144 146	350697840696
STPT(10)	4365222067200808127	0 2 30 32 42 44 54 56 84 86	607765883916
SPT(16)	4365222675664759561	0 30 52 72 78 130 156 186 202 232 258 310 316 336 358 388	1216229835350
SPT(16)	4365222792926886377	0 12 26 62 84 110 132 156 170 194 216 242 264 300 314 326	1333491962166