Prime p₀= 168768313859291651 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 14 4 60 12 18 26 18 12 60 4 14 18 (?)
a_n: 0 18 32 36 96 108 126 152 170 182 242 246 260 278
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: 278
Found by: ChelseaOilman
db: batch=67, k=14, 18 14 4 60 12 18 26

SPT(14)	168768261532967791	0 10 52 90 100 120 126 142 148 168 178 216 258 268	-52326323860
SPT(14)	168768264035277997	0 4 30 34 54 82 100 114 132 160 180 184 210 214	-49824013654
SPT(14)	168768267547128341	0 32 60 72 96 156 158 180 182 242 266 278 306 338	-46312163310
SPT(14)	168768284907962633	0 6 36 38 48 66 116 168 218 236 246 248 278 284	-28951329018
SPT(14)	168768298685236189	0 10 18 102 114 120 148 234 262 268 280 364 372 382	-15174055462
SPT(14)	168768301534585477	0 36 40 54 112 124 186 190 252 264 322 336 340 376	-12324706174
STPT(10)	168768345415526999	0 2 18 20 30 32 42 44 60 62	31556235348
SPT(14)	168768350501504671	0 10 22 82 88 100 120 130 150 162 168 228 240 250	36642213020
SPT(14)	168768375153591329	0 8 20 30 42 48 84 98 134 140 152 162 174 182	61294299678
TPT(12)	168768385706463227	0 2 12 14 60 62 114 116 144 146 150 152	71847171576
SPT(14)	168768389972975011	0 6 42 88 120 162 172 186 196 238 270 316 352 358	76113683360