Prime p₀= 2892351415816405679 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 40 2 40 2 4 2 10 2 (?)
a_n: 0 2 42 44 78 80 120 122 162 164 168 170 180 182
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: 182
Found by: Landjunge
db: batch=82, k=14, 40 34 40 40 4 10

SPT(16)	2892350303308714433	0 20 26 30 50 56 86 110 150 174 204 210 230 234 240 260	-1112507691246
SPT(16)	2892350896647757163	0 20 38 50 66 86 108 120 134 146 168 188 204 216 234 254	-519168648516
SPT(16)	2892350907882259699	0 12 24 28 54 94 100 120 142 162 168 208 234 238 250 262	-507934145980
SPT(16)	2892350932462231439	0 50 80 134 138 168 198 218 240 260 290 320 324 378 408 458	-483354174240
SPT(16)	2892351009605942513	0 6 18 30 44 48 66 84 170 188 206 210 224 236 248 254	-406210463166
SPT(16)	2892351065891250451	0 42 46 82 88 112 138 168 220 250 276 300 306 342 346 388	-349925155228
SPT(16)	2892351716654959061	0 62 66 86 96 116 128 150 188 210 222 242 252 272 276 338	300838553382
STPT(10)	2892351923515886771	0 2 36 38 78 80 120 122 156 158	507699481092
TPT(14)	2892351943911222029	0 2 12 14 30 32 108 110 240 242 252 254 402 404	528094816350
STPT(10)	2892352281056581139	0 2 18 20 30 32 42 44 60 62	865240175460
SPT(16)	2892352621036744487	0 6 44 96 156 164 174 180 266 272 282 290 350 402 440 446	1205220338808