Prime p₀= 809029731655585289 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 4 2 28 2 88 2 22 2 (?)
a_n: 0 2 12 14 42 44 48 50 78 80 168 170 192 194
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: 194
Found by: schoussi
db: batch=73, k=14, 10 28 4 28 88 22

SPT(16)	809029004444248769	0 18 54 74 84 104 150 164 174 188 234 254 264 284 320 338	-727211336520
STPT(10)	809029100077540787	0 2 30 32 42 44 54 56 84 86	-631578044502
STPT(10)	809029140393498107	0 2 30 32 72 74 114 116 144 146	-591262087182
SPT(16)	809029308618957037	0 16 94 96 100 192 264 274 282 292 364 456 460 462 540 556	-423036628252
STPT(10)	809029361794815149	0 2 18 20 30 32 42 44 60 62	-369860770140
SPT(16)	809029594461337177	0 34 40 66 70 76 162 192 274 304 390 396 400 426 432 466	-137194248112
SPT(16)	809029863764772787	0 12 42 70 76 90 112 132 190 210 232 246 252 280 310 322	132109187498
SPT(16)	809030021051023459	0 28 34 78 102 120 132 154 168 190 202 220 244 288 294 322	289395438170
TPT(14)	809030051194848149	0 2 30 32 132 134 162 164 198 200 240 242 330 332	319539262860
SPT(16)	809031558730883947	0 54 64 90 106 120 130 132 154 156 166 180 196 222 232 286	1827075298658
SPT(16)	809031749203828379	0 14 48 62 74 92 98 104 138 144 150 168 180 194 228 242	2017548243090