Prime p₀= 850365952795596899 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 106 2 16 2 28 2 22 2 (?)
a_n: 0 2 60 62 72 74 180 182 198 200 228 230 252 254
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: 254
Found by: RFGuy_KCCO
db: batch=73, k=14, 58 10 106 16 28 22

SPT(16)	850364673582122161	0 12 22 28 30 58 78 82 168 172 192 220 222 228 238 250	-1279213474738
STPT(10)	850365451728921179	0 2 42 44 60 62 78 80 120 122	-501066675720
SPT(16)	850365477131032631	0 6 18 20 32 42 60 68 90 98 116 126 138 140 152 158	-475664564268
STPT(10)	850365552766350317	0 2 12 14 72 74 132 134 144 146	-400029246582
STPT(10)	850365862480847129	0 2 18 20 30 32 42 44 60 62	-90314749770
STPT(12)	850365877080991571	0 2 18 20 60 62 66 68 108 110 126 128	-75714605328
SPT(16)	850366204057719091	0 10 30 66 72 88 96 100 138 142 150 166 172 208 228 238	251262122192
SPT(16)	850366610797997009	0 2 44 62 80 90 162 230 234 302 374 384 402 420 462 464	658002400110
SPT(16)	850366616720511281	0 18 26 56 66 86 96 108 188 200 210 230 240 270 278 296	663924914382
SPT(16)	850366636739699593	0 54 78 94 96 100 108 120 184 196 204 208 210 226 250 304	683944102694
STPT(10)	850367453693347559	0 2 12 14 30 32 48 50 60 62	1500897750660