Prime p₀= 2148819112996412719 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 28 12 6 8 22 14 124 14 22 8 6 12 28 24 (?)
a_n: 0 24 52 64 70 78 100 114 238 252 274 282 288 300 328 352
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 352
Found by: Landjunge
db: batch=81, k=16, 24 28 12 6 8 22 14 124

SPT(16)	2148817709665724401	0 6 22 40 42 96 120 150 178 208 232 286 288 306 322 328	-1403330688318
SPT(16)	2148817753908014737	0 4 22 60 64 70 94 126 130 162 186 192 196 234 252 256	-1359088397982
TPT(14)	2148818101294598429	0 2 42 44 78 80 120 122 168 170 222 224 252 254	-1011701814290
STPT(10)	2148818496286026869	0 2 132 134 150 152 168 170 300 302	-616710385850
STPT(10)	2148818975165464487	0 2 30 32 72 74 114 116 144 146	-137830948232
SPT(16)	2148819073340885551	0 22 42 48 78 90 126 162 166 202 238 250 280 286 306 328	-39655527168
STPT(10)	2148819470774125949	0 2 48 50 60 62 72 74 120 122	357777713230
TPT(14)	2148819492910475501	0 2 30 32 156 158 180 182 186 188 216 218 228 230	379914062782
STPT(10)	2148819511446655667	0 2 42 44 72 74 102 104 144 146	398450242948
STPT(10)	2148819609022248059	0 2 18 20 30 32 42 44 60 62	496025835340
TPT(14)	2148819804321470711	0 2 6 8 168 170 228 230 300 302 366 368 396 398	691325057992