Prime p₀= 741740285567361277 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 40 30 2 64 68 52 24 26 24 52 68 64 2 30 40 (?)
a_n: 0 40 70 72 136 204 256 280 306 330 382 450 514 516 546 586
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: 586
Found by: Theadalus
db: batch=73, k=16, 40 30 2 64 68 52 24 26

SPT(16)	741737904117012037	0 16 30 60 76 130 132 160 222 250 252 306 322 352 366 382	-2381450349240
STPT(10)	741738547004518541	0 2 30 32 78 80 126 128 156 158	-1738562842736
SPT(16)	741738769213270373	0 20 24 30 48 90 114 150 164 200 224 266 284 290 294 314	-1516354090904
STPT(10)	741738870557881289	0 2 30 32 60 62 90 92 120 122	-1415009479988
SPT(16)	741739237431924049	0 28 42 54 94 120 168 184 258 274 322 348 388 400 414 442	-1048135437228
TPT(14)	741739887175622891	0 2 48 50 78 80 96 98 210 212 288 290 318 320	-398391738386
SPT(16)	741740374986381389	0 12 38 72 80 90 108 128 132 152 170 180 188 222 248 260	89419020112
SPT(16)	741740445154873781	0 2 8 12 30 50 66 96 152 182 198 218 236 240 246 248	159587512504
STPT(10)	741740548474625507	0 2 42 44 132 134 222 224 264 266	262907264230
SPT(16)	741740840309017033	0 6 16 36 60 84 108 136 168 196 220 244 268 288 298 304	554741655756
SPT(16)	741740953024594877	0 12 74 96 182 200 242 266 300 324 366 384 470 492 554 566	667457233600