Prime p₀= 2579815271606567143 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 22 42 14 6 24 6 34 6 24 6 14 42 22 6 (?)
a_n: 0 6 28 70 84 90 114 120 154 160 184 190 204 246 268 274
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: 274
Found by: JayPi
db: batch=82, k=16, 6 22 42 14 6 24 6 34

TPT(14)	2579814527299337507	0 2 84 86 102 104 114 116 180 182 240 242 264 266	-744307229636
SPT(16)	2579814548905336661	0 6 20 42 48 86 92 98 150 156 162 200 206 228 242 248	-722701230482
STPT(10)	2579814675400213211	0 2 36 38 78 80 120 122 156 158	-596206353932
TPT(14)	2579814723760282007	0 2 30 32 42 44 84 86 102 104 114 116 180 182	-547846285136
SPT(16)	2579814814797415831	0 28 42 58 100 132 138 160 180 202 208 240 282 298 312 340	-456809151312
SPT(16)	2579815116141398089	0 10 28 58 70 78 94 108 160 174 190 198 210 240 258 268	-155465169054
TPT(14)	2579815979854595561	0 2 6 8 78 80 156 158 198 200 300 302 456 458	708248028418
STPT(10)	2579816002646389691	0 2 30 32 60 62 90 92 120 122	731039822548
STPT(10)	2579816067012300329	0 2 12 14 90 92 168 170 180 182	795405733186
SPT(16)	2579816161760864167	0 10 30 70 72 84 114 270 274 430 460 472 474 514 534 544	890154297024
SPT(16)	2579816849883044593	0 64 78 148 174 196 198 226 258 286 288 310 336 406 420 484	1578276477450