Prime p₀= 2724420786566970443 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 68 40 78 12 42 48 8 22 8 48 42 12 78 40 68 (?)
a_n: 0 68 108 186 198 240 288 296 318 326 374 416 428 506 546 614
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: 614
Found by: JayPi
db: batch=82, k=16, 68 40 78 12 42 48 8 22

SPT(16)	2724418429301429683	0 30 40 70 88 124 186 216 238 268 330 366 384 414 424 454	-2357265540760
SPT(16)	2724419261669306749	0 28 34 70 72 78 100 114 148 162 184 190 192 228 234 262	-1524897663694
STPT(10)	2724419626607669867	0 2 30 32 60 62 90 92 120 122	-1159959300576
SPT(16)	2724419793121527167	0 20 62 86 102 116 132 182 234 284 300 314 330 354 396 416	-993445443276
SPT(16)	2724419995155000089	0 2 48 68 194 224 252 254 258 260 288 318 444 464 510 512	-791411970354
TPT(14)	2724420251751778031	0 2 6 8 138 140 156 158 258 260 306 308 390 392	-534815192412
TPT(14)	2724420881439231101	0 2 78 80 138 140 150 152 210 212 246 248 306 308	94872260658
STPT(10)	2724421359263313557	0 2 12 14 42 44 72 74 84 86	572696343114
STPT(10)	2724421524779684531	0 2 6 8 48 50 90 92 96 98	738212714088
STPT(10)	2724421615216951289	0 2 48 50 90 92 132 134 180 182	828649980846
SPT(16)	2724421808985697621	0 16 30 36 42 78 166 208 240 282 370 406 412 418 432 448	1022418727178