Prime p₀= 2696736920329520687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 190 2 70 2 76 2 28 2 10 2 34 2 (?)
a_n: 0 2 192 194 264 266 342 344 372 374 384 386 420 422
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: 422
Found by: RFGuy_KCCO
db: batch=82, k=14, 190 70 76 28 10 34

SPT(16)	2696735803496637523	0 40 66 70 78 150 154 216 238 300 304 376 384 388 414 454	-1116832883164
STPT(10)	2696735864050134029	0 2 12 14 30 32 48 50 60 62	-1056279386658
STPT(10)	2696735935144364327	0 2 30 32 42 44 54 56 84 86	-985185156360
SPT(16)	2696736123772407071	0 50 80 150 158 168 182 186 242 246 260 270 278 348 378 428	-796557113616
SPT(16)	2696736377784532843	0 28 40 78 96 114 148 160 204 216 250 268 286 324 336 364	-542544987844
STPT(10)	2696736815191468667	0 2 90 92 102 104 114 116 204 206	-105138052020
SPT(16)	2696737404711532207	0 102 166 174 216 244 252 270 406 424 432 460 502 510 574 676	484382011520
STPT(10)	2696737568893033847	0 2 30 32 42 44 54 56 84 86	648563513160
SPT(16)	2696737617912611893	0 16 34 70 88 96 114 118 126 130 148 156 174 210 228 244	697583091206
TPT(14)	2696737831426924169	0 2 78 80 120 122 162 164 210 212 222 224 288 290	911097403482
STPT(10)	2696738051666502761	0 2 30 32 78 80 126 128 156 158	1131336982074