Prime p₀= 876943834492707587 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 4 2 220 2 10 2 16 2 (?)
a_n: 0 2 60 62 84 86 90 92 312 314 324 326 342 344
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: 344
Found by: [AF>Libristes]Maeda
db: batch=73, k=14, 58 22 4 220 10 16

SPT(16)	876943192046480413	0 54 64 66 96 106 126 130 204 208 228 238 268 270 280 334	-642446227174
STPT(10)	876943351437047969	0 2 42 44 90 92 138 140 180 182	-483055659618
SPT(16)	876943381567570931	0 8 32 80 120 132 168 182 228 242 278 290 330 378 402 410	-452925136656
STPT(10)	876943543472143619	0 2 42 44 90 92 138 140 180 182	-291020563968
STPT(10)	876943576313110247	0 2 30 32 42 44 54 56 84 86	-258179597340
SPT(16)	876943726653316711	0 28 42 70 88 100 130 142 156 168 198 210 228 256 270 298	-107839390876
SPT(16)	876943941180279281	0 2 18 30 66 72 140 150 158 168 236 242 278 290 306 308	106687571694
SPT(16)	876944033091296941	0 16 30 42 52 190 196 198 220 222 228 366 376 388 402 418	198598589354
STPT(10)	876944196372586787	0 2 30 32 42 44 54 56 84 86	361879879200
SPT(16)	876944262548697389	0 8 12 14 48 50 102 128 144 170 222 224 258 260 264 272	428055989802
SPT(16)	876944297169990031	0 30 36 78 82 108 178 190 198 210 280 306 310 352 358 388	462677282444