Prime p₀= 3161114292288836743 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 60 96 70 44 10 6 12 50 12 6 10 44 70 96 60 (?)
a_n: 0 60 156 226 270 280 286 298 348 360 366 376 420 490 586 646
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: 646
Found by: ladmo
db: batch=83, k=16, 60 96 70 44 10 6 12 50

SPT(16)	3161112236904424237	0 64 66 94 100 120 130 154 222 246 256 276 282 310 312 376	-2055384412506
STPT(10)	3161112241141041137	0 2 30 32 42 44 54 56 84 86	-2051147795606
STPT(14)	3161112503681621297	0 2 12 14 54 56 72 74 90 92 132 134 144 146	-1788607215446
TPT(14)	3161112503681621297	0 2 12 14 54 56 72 74 90 92 132 134 144 146	-1788607215446
TPT(14)	3161112993096836801	0 2 18 20 36 38 60 62 78 80 90 92 126 128	-1299191999942
SPT(16)	3161114158095800903	0 66 78 80 98 156 168 206 210 248 260 318 336 338 350 416	-134193035840
SPT(16)	3161114325725702699	0 8 42 68 84 90 110 134 168 192 212 218 234 260 294 302	33436865956
SPT(16)	3161114346545309003	0 6 24 38 48 68 104 126 188 210 246 266 276 290 308 314	54256472260
SPT(16)	3161114778243590869	0 22 30 52 72 78 88 120 172 204 214 220 240 262 270 292	485954754126
SPT(16)	3161114898734418503	0 20 48 126 138 140 180 230 246 296 336 338 350 428 456 476	606445581760
STPT(10)	3161114956505884877	0 2 30 32 72 74 114 116 144 146	664217048134