Prime p₀= 2513597954482013143 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 4 20 24 12 48 4 38 4 48 12 24 20 4 6 (?)
a_n: 0 6 10 30 54 66 114 118 156 160 208 220 244 264 268 274
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 4 20 24 12 48 4 38

SPT(16)	2513597264759873857	0 4 22 42 66 70 76 82 174 180 186 190 214 234 252 256	-689722139286
STPT(10)	2513597289221357159	0 2 42 44 60 62 78 80 120 122	-665260655984
SPT(16)	2513597379906255743	0 38 114 144 228 234 240 246 338 344 350 356 440 470 546 584	-574575757400
SPT(16)	2513597428180414949	0 2 14 44 74 84 104 140 162 198 218 228 258 288 300 302	-526301598194
SPT(13)	2513597501212633049	0 12 54 180 210 222 252 282 294 324 450 492 504	-453269380094
SPT(16)	2513597542306299221	0 2 68 126 180 222 240 276 362 398 416 458 512 570 636 638	-412175713922
STPT(10)	2513598032722251227	0 2 30 32 42 44 54 56 84 86	78240238084
STPT(10)	2513598491950647989	0 2 18 20 30 32 42 44 60 62	537468634846
SPT(16)	2513598584024340247	0 12 54 64 66 112 130 136 180 186 204 250 252 262 304 316	629542327104
STPT(10)	2513598766905977711	0 2 36 38 78 80 120 122 156 158	812423964568
SPT(16)	2513599468418041351	0 60 78 82 106 112 132 148 150 166 186 192 216 220 238 298	1513936028208