Prime p₀= 2122345450413490079 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 56 4 42 6 24 26 22 26 24 6 42 4 56 12 (?)
a_n: 0 12 68 72 114 120 144 170 192 218 242 248 290 294 350 362
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: 362
Found by: Chooka
db: batch=80, k=16, 12 56 4 42 6 24 26 22

SPT(16)	2122343925924991049	0 14 42 108 114 120 152 168 194 210 242 248 254 320 348 362	-1524488499030
SPT(16)	2122344310567936349	0 14 20 42 72 90 102 104 138 140 152 170 200 222 228 242	-1139845553730
SPT(16)	2122344362237833499	0 8 12 84 90 110 120 132 140 152 162 182 188 260 264 272	-1088175656580
STPT(10)	2122344416433355481	0 2 6 8 48 50 90 92 96 98	-1033980134598
SPT(16)	2122344516521681299	0 4 24 52 70 72 78 130 162 214 220 222 240 268 288 292	-933891808780
STPT(10)	2122344594120586247	0 2 24 26 42 44 60 62 84 86	-856292903832
SPT(16)	2122345798742179177	0 24 82 150 166 214 252 270 286 304 342 390 406 474 532 556	348328689098
STPT(10)	2122345960357999589	0 2 48 50 90 92 132 134 180 182	509944509510
SPT(16)	2122346074902189133	0 6 34 40 70 96 100 114 130 144 148 174 204 210 238 244	624488699054
STPT(10)	2122346292891757451	0 2 36 38 78 80 120 122 156 158	842478267372
TPT(14)	2122346650693095257	0 2 54 56 132 134 144 146 222 224 252 254 324 326	1200279605178