Prime p₀= 2906538296330257151 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 130 2 28 2 106 2 10 2 28 2 (?)
a_n: 0 2 6 8 138 140 168 170 276 278 288 290 318 320
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: 320
Found by: [SG-FC] hl
db: batch=82, k=14, 4 130 28 106 10 28

SPT(16)	2906536980297258227	0 14 24 56 66 104 176 182 204 210 282 320 330 362 372 386	-1316032998924
STPT(10)	2906536994583744251	0 2 36 38 78 80 120 122 156 158	-1301746512900
STPT(10)	2906537597050665437	0 2 30 32 72 74 114 116 144 146	-699279591714
SPT(16)	2906537720307834439	0 84 88 124 144 162 168 204 238 274 280 298 318 354 358 442	-576022422712
SPT(16)	2906538095268719221	0 10 22 36 46 60 90 112 126 148 178 192 202 216 228 238	-201061537930
STPT(10)	2906538242957952467	0 2 42 44 72 74 102 104 144 146	-53372304684
SPT(13)	2906538625185258319	0 18 48 78 84 114 144 174 204 210 240 270 288	328855001168
SPT(16)	2906538952036404161	0 2 12 26 78 102 116 138 140 162 176 200 252 266 276 278	655706147010
SPT(16)	2906539183708470229	0 10 52 72 118 124 132 138 154 160 168 174 220 240 282 292	887378213078
STPT(10)	2906539748592144617	0 2 30 32 42 44 54 56 84 86	1452261887466
SPT(16)	2906539758475244303	0 18 38 44 60 80 104 126 128 150 174 194 210 216 236 254	1462144987152