Prime p₀= 2850664622090172527 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 178 2 4 2 22 2 28 2 34 2 (?)
a_n: 0 2 24 26 204 206 210 212 234 236 264 266 300 302
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: 302
Found by: JayPi
db: batch=82, k=14, 22 178 4 22 28 34

SPT(16)	2850663824242198639	0 22 34 52 64 70 72 94 138 160 162 168 180 198 210 232	-797847973888
SPT(16)	2850664079603159473	0 34 54 64 120 156 174 180 184 190 208 244 300 310 330 364	-542487013054
STPT(10)	2850664102516418567	0 2 30 32 42 44 54 56 84 86	-519573753960
SPT(16)	2850664380431164529	0 18 30 50 60 72 92 138 182 228 248 260 270 290 302 320	-241659007998
STPT(10)	2850664452671575997	0 2 30 32 72 74 114 116 144 146	-169418596530
STPT(10)	2850664522226369699	0 2 42 44 90 92 138 140 180 182	-99863802828
SPT(16)	2850664639923439459	0 52 70 72 112 130 154 162 172 180 204 222 262 264 282 334	17833266932
SPT(16)	2850665229055608077	0 24 36 84 102 110 116 152 234 270 276 284 302 350 362 386	606965435550
SPT(16)	2850665247804569851	0 6 18 52 60 118 130 166 222 258 270 328 336 370 382 388	625714397324
STPT(10)	2850665714667907139	0 2 12 14 90 92 168 170 180 182	1092577734612
TPT(14)	2850665796340269287	0 2 30 32 42 44 72 74 90 92 120 122 252 254	1174250096760