Prime p₀= 3012806673873466553 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 46 2 48 64 50 54 16 54 50 64 48 2 46 20 (?)
a_n: 0 20 66 68 116 180 230 284 300 354 404 468 516 518 564 584
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: 584
Found by: Alnitak2019
db: batch=82, k=16, 20 46 2 48 64 50 54 16

SPT(16)	3012805989332242027	0 4 30 40 46 60 82 96 100 114 136 150 156 166 192 196	-684541224526
STPT(10)	3012806027172675491	0 2 6 8 18 20 30 32 36 38	-646700791062
STPT(10)	3012806247561047219	0 2 42 44 60 62 78 80 120 122	-426312419334
STPT(10)	3012806387429812451	0 2 30 32 78 80 126 128 156 158	-286443654102
STPT(10)	3012806392769952671	0 2 6 8 48 50 90 92 96 98	-281103513882
SPT(16)	3012806522442790751	0 2 38 60 80 86 126 140 168 182 222 228 248 270 306 308	-151430675802
SPT(16)	3012806773281545089	0 40 48 64 124 142 198 202 240 244 300 318 378 394 402 442	99408078536
TPT(14)	3012806881260325307	0 2 72 74 210 212 222 224 270 272 300 302 312 314	207386858754
SPT(16)	3012806925281550757	0 6 10 16 34 52 76 112 114 150 174 192 210 216 220 226	251408084204
STPT(10)	3012807611223859037	0 2 30 32 42 44 54 56 84 86	937350392484
STPT(10)	3012807690465560087	0 2 60 62 72 74 84 86 144 146	1016592093534