Prime p₀= 2315728933507724107 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 46 26 34 8 76 44 36 16 36 44 76 8 34 26 46 (?)
a_n: 0 46 72 106 114 190 234 270 286 322 366 442 450 484 510 556
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: Orange Kid
db: batch=81, k=16, 46 26 34 8 76 44 36 16

SPT(16)	2315726243401134229	0 24 30 42 72 78 108 124 138 154 184 190 220 232 238 262	-2690106589878
STPT(10)	2315726631842082461	0 2 30 32 60 62 90 92 120 122	-2301665641646
STPT(10)	2315727184228266671	0 2 30 32 78 80 126 128 156 158	-1749279457436
TPT(14)	2315727854785800179	0 2 30 32 48 50 60 62 90 92 132 134 138 140	-1078721923928
SPT(16)	2315727856569526433	0 30 80 108 138 150 194 240 308 354 398 410 440 468 518 548	-1076938197674
STPT(10)	2315728457012670611	0 2 6 8 18 20 30 32 36 38	-476495053496
STPT(10)	2315729371153574417	0 2 30 32 42 44 54 56 84 86	437645850310
STPT(10)	2315729827240341539	0 2 18 20 30 32 42 44 60 62	893732617432
STPT(10)	2315730134924308481	0 2 36 38 78 80 120 122 156 158	1201416584374
TPT(14)	2315730519100669079	0 2 162 164 168 170 222 224 300 302 378 380 390 392	1585592944972
SPT(16)	2315730641022959389	0 12 40 42 64 130 144 162 172 190 204 270 292 294 322 334	1707515235282