Prime p₀= 2913194679540805367 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 106 2 100 2 10 2 4 2 22 2 (?)
a_n: 0 2 12 14 120 122 222 224 234 236 240 242 264 266
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: 266
Found by: Landjunge
db: batch=82, k=14, 10 106 100 10 4 22

SPT(16)	2913193384272971587	0 12 22 30 72 90 102 142 144 184 196 214 256 264 274 286	-1295267833780
STPT(10)	2913193515692534447	0 2 42 44 102 104 162 164 204 206	-1163848270920
SPT(16)	2913193527537967699	0 4 48 88 112 120 124 138 154 168 172 180 204 244 288 292	-1152002837668
TPT(14)	2913194085569157917	0 2 42 44 60 62 90 92 114 116 204 206 270 272	-593971647450
STPT(10)	2913194148141058277	0 2 60 62 72 74 84 86 144 146	-531399747090
STPT(10)	2913194640940151597	0 2 12 14 42 44 72 74 84 86	-38600653770
SPT(16)	2913194813000554183	0 90 106 136 156 160 210 226 294 310 360 364 384 414 430 520	133459748816
SPT(16)	2913195002432614577	0 32 74 132 182 200 210 234 272 296 306 324 374 432 474 506	322891809210
SPT(15)	2913195028682762429	0 12 42 132 138 180 222 240 258 300 342 348 438 468 480	349141957062
STPT(10)	2913195813505383947	0 2 30 32 72 74 114 116 144 146	1133964578580
STPT(10)	2913196293414967487	0 2 30 32 72 74 114 116 144 146	1613874162120