Prime p₀= 798821647979350997 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 76 2 28 2 52 2 136 2 16 2 (?)
a_n: 0 2 72 74 150 152 180 182 234 236 372 374 390 392
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: 392
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 70 76 28 52 136 16

STPT(10)	798820288655590181	0 2 36 38 78 80 120 122 156 158	-1359323760816
TPT(14)	798820662384461711	0 2 66 68 126 128 150 152 210 212 366 368 390 392	-985594889286
SPT(16)	798820954102514813	0 30 38 116 156 158 176 198 248 270 288 290 330 408 416 446	-693876836184
SPT(16)	798821004770019841	0 18 58 136 186 232 252 312 316 376 396 442 492 570 610 628	-643209331156
SPT(16)	798821520536353627	0 10 22 40 52 60 70 102 130 162 172 180 192 210 222 232	-127442997370
SPT(16)	798821611074822557	0 32 62 66 120 122 146 162 164 180 204 206 260 264 294 326	-36904528440
STPT(10)	798821741889024587	0 2 30 32 42 44 54 56 84 86	93909673590
STPT(12)	798822327233309549	0 2 18 20 30 32 228 230 240 242 258 260	679253958552
STPT(10)	798822470993201069	0 2 18 20 30 32 42 44 60 62	823013850072
STPT(10)	798822694005134081	0 2 6 8 48 50 90 92 96 98	1046025783084
SPT(16)	798822723709346233	0 16 30 34 36 78 118 120 154 156 196 238 240 244 258 274	1075729995236