Prime p₀= 2158015644398639939 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 178 2 58 2 130 2 16 2 10 2 (?)
a_n: 0 2 18 20 198 200 258 260 390 392 408 410 420 422
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: 422
Found by: Landjunge
db: batch=81, k=14, 16 178 58 130 16 10

SPT(16)	2158014481182711407	0 12 26 42 60 72 86 144 152 210 224 236 254 270 284 296	-1163215928532
SPT(16)	2158014776440882001	0 26 48 66 128 140 146 168 170 192 198 210 272 290 312 338	-867957757938
SPT(16)	2158014783268088323	0 18 46 54 60 76 88 138 166 216 228 244 250 258 286 304	-861130551616
SPT(16)	2158015242300827911	0 40 42 46 58 78 106 112 156 162 190 210 222 226 228 268	-402097812028
SPT(16)	2158015353849335153	0 50 104 120 180 210 218 224 270 276 284 314 374 390 444 494	-290549304786
STPT(10)	2158015378324852181	0 2 36 38 78 80 120 122 156 158	-266073787758
TPT(14)	2158015682170157177	0 2 60 62 84 86 102 104 144 146 264 266 294 296	37771517238
SPT(16)	2158015731304003297	0 16 24 30 46 96 100 124 156 180 184 234 250 256 264 280	86905363358
TPT(14)	2158015773449720687	0 2 72 74 84 86 114 116 150 152 180 182 240 242	129051080748
STPT(10)	2158015866801372629	0 2 18 20 30 32 42 44 60 62	222402732690
STPT(10)	2158016383174247411	0 2 6 8 48 50 90 92 96 98	738775607472