Prime p₀= 3017025099823404809 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 40 2 106 2 28 2 28 2 (?)
a_n: 0 2 12 14 18 20 60 62 168 170 198 200 228 230
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: 230
Found by: [SG-FC] hl
db: batch=82, k=14, 10 4 40 106 28 28

SPT(16)	3017023882796382923	0 66 98 104 116 120 140 150 224 234 254 258 270 276 308 374	-1217027021886
STPT(10)	3017024018594522141	0 2 6 8 18 20 30 32 36 38	-1081228882668
SPT(16)	3017024287600415159	0 8 14 20 30 62 132 144 158 170 240 272 282 288 294 302	-812222989650
SPT(16)	3017024695831962457	0 36 96 120 136 180 244 246 250 252 316 360 376 400 460 496	-403991442352
TPT(14)	3017024721634679729	0 2 72 74 120 122 150 152 210 212 282 284 408 410	-378188725080
SPT(16)	3017024927423509999	0 12 28 34 72 112 118 154 168 204 210 250 288 294 310 322	-172399894810
SPT(16)	3017025140883170743	0 18 34 36 88 118 120 130 144 154 156 186 238 240 256 274	41059765934
STPT(10)	3017025748893833177	0 2 54 56 72 74 90 92 144 146	649070428368
TPT(14)	3017025960465580109	0 2 72 74 102 104 132 134 168 170 252 254 258 260	860642175300
SPT(18)	3017026233121661023	0 4 6 46 48 54 96 106 154 180 228 238 280 286 288 328 330 334	1133298256214
SPT(16)	3017026829870319053	0 36 54 60 84 116 120 228 236 344 348 380 404 410 428 464	1730046914244