Prime p₀= 797521674528416417 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 34 2 160 2 40 2 124 2 10 2 (?)
a_n: 0 2 24 26 60 62 222 224 264 266 390 392 402 404
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: 404
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 22 34 160 40 124 10

SPT(20)	797519969345511961	0 28 30 58 72 120 132 138 156 178 180 202 220 226 238 286 300 328 330 358	-1705182904456
STPT(10)	797520552229698677	0 2 30 32 120 122 210 212 240 242	-1122298717740
SPT(16)	797520665271535993	0 58 90 100 130 156 190 240 256 306 340 366 396 406 438 496	-1009256880424
SPT(16)	797521025036147057	0 24 62 90 104 114 204 224 282 302 392 402 416 444 482 506	-649492269360
SPT(16)	797521064015247857	0 24 36 42 50 80 102 120 146 164 186 216 224 230 242 266	-610513168560
STPT(10)	797521330643954459	0 2 12 14 90 92 168 170 180 182	-343884461958
SPT(16)	797521841341511827	0 4 16 36 60 72 132 154 162 184 244 256 280 300 312 316	166813095410
TPT(14)	797522034183558107	0 2 12 14 30 32 84 86 90 92 180 182 222 224	359655141690
SPT(16)	797522249336459327	0 36 42 50 62 72 80 92 120 132 140 150 162 170 176 212	574808042910
SPT(16)	797522713139591053	0 16 28 30 88 168 184 234 340 390 406 486 544 546 558 574	1038611174636
SPT(18)	797522765547881111	0 18 32 36 48 50 56 62 102 176 216 222 228 230 242 246 260 278	1091019464694