Prime p₀= 793591214519733031 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 54 56 4 2 24 6 202 6 24 2 4 56 54 22 (?)
a_n: 0 22 76 132 136 138 162 168 370 376 400 402 406 462 516 538
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: 538
Found by: Conan
db: batch=73, k=16, 22 54 56 4 2 24 6 202

SPT(16)	793590766691798609	0 44 62 92 98 120 134 144 188 198 212 234 240 270 288 332	-447827934422
SPT(16)	793590878666178973	0 28 30 48 64 76 78 84 100 106 108 120 136 154 156 184	-335853554058
SPT(16)	793590936715296689	0 2 8 30 60 78 90 128 144 182 194 212 242 264 270 272	-277804436342
SPT(16)	793591004259840947	0 12 20 42 54 102 116 122 174 180 194 242 254 276 284 296	-210259892084
SPT(16)	793591192528057289	0 42 80 114 210 218 224 260 282 318 324 332 428 462 500 542	-21991675742
SPT(16)	793591194796453349	0 8 14 44 60 128 150 164 168 182 204 272 288 318 324 332	-19723279682
TPT(14)	793591295571332747	0 2 24 26 60 62 150 152 192 194 210 212 294 296	81051599716
SPT(18)	793591323110057503	0 54 78 114 124 126 154 180 226 258 304 330 358 360 370 406 430 484	108590324472
TPT(14)	793592567951375111	0 2 78 80 168 170 210 212 216 218 306 308 330 332	1353431642080
STPT(10)	793592708199670409	0 2 18 20 30 32 42 44 60 62	1493679937378
SPT(16)	793593107375118733	0 60 78 88 118 148 166 196 258 288 306 336 366 376 394 454	1892855385702