Prime p₀= 2867394823239727493 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 20 120 18 10 144 6 26 6 144 10 18 120 20 6 (?)
a_n: 0 6 26 146 164 174 318 324 350 356 500 510 528 648 668 674
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: 674
Found by: Landjunge
db: batch=82, k=16, 6 20 120 18 10 144 6 26

TPT(14)	2867393541475249601	0 2 66 68 138 140 150 152 168 170 180 182 258 260	-1281764477892
STPT(10)	2867394216554468441	0 2 36 38 78 80 120 122 156 158	-606685259052
STPT(10)	2867394387253264439	0 2 18 20 30 32 42 44 60 62	-435986463054
SPT(16)	2867394420277077469	0 28 48 58 64 72 102 114 148 160 190 198 204 214 234 262	-402962650024
STPT(10)	2867394453850060439	0 2 48 50 90 92 132 134 180 182	-369389667054
SPT(16)	2867394667135953091	0 12 16 40 90 100 126 148 180 202 228 238 288 312 316 328	-156103774402
STPT(10)	2867394823716823571	0 2 78 80 108 110 138 140 216 218	477096078
SPT(16)	2867394895798100519	0 20 98 152 200 218 228 252 278 302 312 330 378 432 510 530	72558373026
STPT(10)	2867395097542259057	0 2 54 56 72 74 90 92 144 146	274302531564
SPT(16)	2867395465431051097	0 22 30 64 72 100 102 112 114 124 126 154 162 196 204 226	642191323604
SPT(16)	2867395912018253449	0 4 52 72 84 130 144 150 184 190 204 250 262 282 330 334	1088778525956