Prime p₀= 836357406045768149 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 256 2 70 2 64 2 28 2 22 2 (?)
a_n: 0 2 12 14 270 272 342 344 408 410 438 440 462 464
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: RFGuy_KCCO
db: batch=73, k=14, 10 256 70 64 28 22

SPT(16)	836356565010520621	0 12 40 42 58 78 96 106 162 172 190 210 226 228 256 268	-841035247528
STPT(10)	836356851186832271	0 2 6 8 18 20 30 32 36 38	-554858935878
STPT(10)	836356870968998381	0 2 36 38 78 80 120 122 156 158	-535076769768
SPT(16)	836357027233075571	0 26 66 110 138 170 212 236 252 276 318 350 378 422 462 488	-378812692578
SPT(16)	836357122327166549	0 2 44 102 114 174 204 224 258 278 308 368 380 438 480 482	-283718601600
STPT(10)	836357306487091601	0 2 36 38 78 80 120 122 156 158	-99558676548
STPT(10)	836357498113716749	0 2 18 20 30 32 42 44 60 62	92067948600
TPT(14)	836358050160099287	0 2 42 44 72 74 144 146 174 176 210 212 270 272	644114331138
STPT(10)	836358115693149167	0 2 30 32 42 44 54 56 84 86	709647381018
SPT(16)	836358752494521953	0 26 60 68 126 158 198 224 240 266 306 338 396 404 438 464	1346448753804
TPT(14)	836359075651456307	0 2 30 32 60 62 150 152 234 236 252 254 264 266	1669605688158