Prime p₀= 798820662384461711 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 58 2 22 2 58 2 154 2 22 2 (?)
a_n: 0 2 66 68 126 128 150 152 210 212 366 368 390 392
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, 64 58 22 58 154 22

SPT(16)	798819757000946203	0 40 84 90 96 138 196 204 220 228 286 328 334 340 384 424	-905383515508
SPT(16)	798819765395051797	0 34 52 64 144 174 180 192 232 244 250 280 360 372 390 424	-896989409914
STPT(10)	798819854364347909	0 2 18 20 30 32 42 44 60 62	-808020113802
STPT(10)	798819885548141057	0 2 42 44 72 74 102 104 144 146	-776836320654
TPT(14)	798820002348350459	0 2 12 14 78 80 138 140 162 164 168 170 198 200	-660036111252
STPT(10)	798820288655590181	0 2 36 38 78 80 120 122 156 158	-373728871530
SPT(16)	798820954102514813	0 30 38 116 156 158 176 198 248 270 288 290 330 408 416 446	291718053102
SPT(16)	798821004770019841	0 18 58 136 186 232 252 312 316 376 396 442 492 570 610 628	342385558130
SPT(16)	798821520536353627	0 10 22 40 52 60 70 102 130 162 172 180 192 210 222 232	858151891916
SPT(16)	798821611074822557	0 32 62 66 120 122 146 162 164 180 204 206 260 264 294 326	948690360846
TPT(14)	798821647979350997	0 2 72 74 150 152 180 182 234 236 372 374 390 392	985594889286