Prime p₀= 2122345798742179177 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 58 68 16 48 38 18 16 18 38 48 16 68 58 24 (?)
a_n: 0 24 82 150 166 214 252 270 286 304 342 390 406 474 532 556
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: 556
Found by: Chooka
db: batch=80, k=16, 24 58 68 16 48 38 18 16

SPT(16)	2122344310567936349	0 14 20 42 72 90 102 104 138 140 152 170 200 222 228 242	-1488174242828
SPT(16)	2122344362237833499	0 8 12 84 90 110 120 132 140 152 162 182 188 260 264 272	-1436504345678
STPT(10)	2122344416433355481	0 2 6 8 48 50 90 92 96 98	-1382308823696
SPT(16)	2122344516521681299	0 4 24 52 70 72 78 130 162 214 220 222 240 268 288 292	-1282220497878
STPT(10)	2122344594120586247	0 2 24 26 42 44 60 62 84 86	-1204621592930
SPT(16)	2122345450413490079	0 12 68 72 114 120 144 170 192 218 242 248 290 294 350 362	-348328689098
STPT(10)	2122345960357999589	0 2 48 50 90 92 132 134 180 182	161615820412
SPT(16)	2122346074902189133	0 6 34 40 70 96 100 114 130 144 148 174 204 210 238 244	276160009956
STPT(10)	2122346292891757451	0 2 36 38 78 80 120 122 156 158	494149578274
TPT(14)	2122346650693095257	0 2 54 56 132 134 144 146 222 224 252 254 324 326	851950916080
STPT(10)	2122347433249603487	0 2 30 32 72 74 114 116 144 146	1634507424310