Prime p₀= 2678310491503108303 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 4 2 58 26 4 32 88 32 4 26 58 2 4 24 (?)
a_n: 0 24 28 30 88 114 118 150 238 270 274 300 358 360 364 388
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: 388
Found by: [SG-2W]Kurzer
db: batch=82, k=16, 24 4 2 58 26 4 32 88

SPT(16)	2678308250265469909	0 24 52 84 112 114 148 168 274 294 328 330 358 390 418 442	-2241237638394
STPT(12)	2678308422295136441	0 2 18 20 30 32 96 98 108 110 126 128	-2069207971862
TPT(14)	2678308422295136441	0 2 18 20 30 32 96 98 108 110 126 128 180 182	-2069207971862
STPT(10)	2678309511094741367	0 2 30 32 42 44 54 56 84 86	-980408366936
STPT(10)	2678309742514846511	0 2 36 38 78 80 120 122 156 158	-748988261792
STPT(10)	2678309877181629671	0 2 36 38 78 80 120 122 156 158	-614321478632
SPT(16)	2678310985247867219	0 42 48 104 120 158 162 180 182 200 204 242 258 314 320 362	493744758916
SPT(16)	2678311156079961799	0 18 22 28 42 90 118 150 172 204 232 280 294 300 304 322	664576853496
STPT(10)	2678311847502710327	0 2 30 32 42 44 54 56 84 86	1355999602024
STPT(10)	2678311934455743401	0 2 6 8 48 50 90 92 96 98	1442952635098
SPT(16)	2678312071164680351	0 18 20 32 38 42 66 90 98 122 146 150 156 168 170 188	1579661572048