Prime p₀= 1122864162589760407 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 2 6 30 102 28 2 28 2 28 102 30 6 2 4 (?)
a_n: 0 4 6 12 42 144 172 174 202 204 232 334 364 370 372 376
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: 376
Found by: crashtech
db: batch=76, k=16, 4 2 6 30 102 28 2 28

SPT(16)	1122863339329199753	0 8 54 84 120 164 168 180 218 230 234 278 314 344 390 398	-823260560654
STPT(10)	1122863506480021487	0 2 30 32 42 44 54 56 84 86	-656109738920
STPT(10)	1122863697162449027	0 2 30 32 60 62 90 92 120 122	-465427311380
STPT(10)	1122863854542440081	0 2 36 38 78 80 120 122 156 158	-308047320326
SPT(16)	1122863874295949837	0 6 32 62 74 102 116 120 146 150 164 192 204 234 260 266	-288293810570
SPT(16)	1122863919023324171	0 36 66 128 150 162 168 176 192 200 206 218 240 302 332 368	-243566436236
SPT(16)	1122864262582036529	0 14 24 44 74 92 98 102 140 144 150 168 198 218 228 242	99992276122
TPT(14)	1122864341673910349	0 2 42 44 90 92 138 140 192 194 222 224 252 254	179084149942
SPT(16)	1122864449155939757	0 12 42 50 54 56 92 116 120 144 180 182 186 194 224 236	286566179350
SPT(16)	1122864460653037387	0 22 64 76 82 94 96 120 136 160 162 174 180 192 234 256	298063276980
SPT(16)	1122864621014008447	0 12 66 94 102 150 172 196 210 234 256 304 312 340 394 406	458424248040