Prime p₀= 2390871402504229829 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 40 2 64 2 52 2 16 2 (?)
a_n: 0 2 30 32 90 92 132 134 198 200 252 254 270 272
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: 272
Found by: Dirk Broer
db: batch=81, k=14, 28 58 40 64 52 16

STPT(10)	2390869178759443931	0 2 6 8 48 50 90 92 96 98	-2223744785898
STPT(12)	2390869622579630627	0 2 12 14 24 26 30 32 42 44 54 56	-1779924599202
SPT(18)	2390870338926703591	0 16 42 66 130 178 192 202 222 256 276 286 300 348 412 436 462 478	-1063577526238
SPT(16)	2390870429167548283	0 18 48 64 70 76 106 120 124 138 168 174 180 196 226 244	-973336681546
SPT(16)	2390870855581406969	0 30 38 42 84 110 138 162 170 194 222 248 290 294 302 332	-546922822860
SPT(16)	2390870862406125793	0 24 64 94 100 108 124 136 168 180 196 204 210 240 280 304	-540098104036
STPT(10)	2390871422854137401	0 2 6 8 48 50 90 92 96 98	20349907572
STPT(10)	2390871574743585749	0 2 12 14 30 32 48 50 60 62	172239355920
SPT(16)	2390871853938308723	0 6 24 30 54 56 90 156 164 230 264 266 290 296 314 320	451434078894
SPT(16)	2390872097081895377	0 2 14 44 54 62 104 132 164 192 234 242 252 282 294 296	694577665548
STPT(10)	2390872195669862459	0 2 18 20 60 62 102 104 120 122	793165632630