Prime p₀= 933016513441202621 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 94 2 28 2 22 2 16 2 40 2 (?)
a_n: 0 2 60 62 156 158 186 188 210 212 228 230 270 272
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: Theadalus
db: batch=76, k=14, 58 94 28 22 16 40

TPT(14)	933015654110932781	0 2 6 8 30 32 96 98 138 140 156 158 228 230	-859330269840
STPT(10)	933015701274059231	0 2 6 8 48 50 90 92 96 98	-812167143390
STPT(10)	933015838560774929	0 2 42 44 120 122 198 200 240 242	-674880427692
SPT(16)	933015949835842669	0 4 30 54 58 90 130 172 180 222 262 294 298 322 348 352	-563605359952
STPT(10)	933015953245311107	0 2 30 32 42 44 54 56 84 86	-560195891514
SPT(16)	933015971386916387	0 6 104 110 126 152 174 176 180 182 204 230 246 252 350 356	-542054286234
STPT(10)	933016750274764451	0 2 6 8 18 20 30 32 36 38	236833561830
STPT(10)	933016825917641219	0 2 18 20 30 32 42 44 60 62	312476438598
SPT(16)	933016960517656759	0 10 24 34 54 82 84 238 264 418 420 448 468 478 492 502	447076454138
SPT(16)	933016968072337873	0 18 36 48 54 60 70 96 148 174 184 190 196 208 226 244	454631135252
SPT(16)	933017537333794303	0 10 24 46 54 66 100 144 166 210 244 256 264 286 300 310	1023892591682