Prime p₀= 1653425135647842017 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 232 2 46 2 148 2 88 2 76 2 58 2 (?)
a_n: 0 2 234 236 282 284 432 434 522 524 600 602 660 662
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: 662
Found by: Dirk Broer
db: batch=79, k=14, 232 46 148 88 76 58

SPT(18)	1653423579335478871	0 12 30 42 76 100 180 186 196 216 226 232 312 336 370 382 400 412	-1556312363146
STPT(10)	1653423912856011311	0 2 36 38 78 80 120 122 156 158	-1222791830706
SPT(16)	1653424031559817277	0 62 90 92 122 126 144 146 180 182 200 204 234 236 264 326	-1104088024740
STPT(10)	1653424110208727951	0 2 6 8 48 50 90 92 96 98	-1025439114066
SPT(16)	1653424634952058951	0 10 16 28 30 42 48 76 132 160 166 178 180 192 198 208	-500695783066
STPT(10)	1653425128067964071	0 2 6 8 18 20 30 32 36 38	-7579877946
SPT(16)	1653425234414088607	0 66 72 106 136 142 180 190 252 262 300 306 336 370 376 442	98766246590
STPT(10)	1653425598884505569	0 2 12 14 30 32 48 50 60 62	463236663552
SPT(16)	1653425888899132577	0 54 60 62 92 110 180 194 210 224 294 312 342 344 350 404	753251290560
TPT(14)	1653426031421205749	0 2 12 14 42 44 180 182 198 200 222 224 318 320	895773363732
SPT(16)	1653426448548794831	0 2 32 90 132 150 156 170 228 242 248 266 308 366 396 398	1312900952814