Prime p₀= 1971674298513102907 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 14 28 42 26 4 54 116 54 4 26 42 28 14 22 (?)
a_n: 0 22 36 64 106 132 136 190 306 360 364 390 432 460 474 496
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: 496
Found by: Cruncher Pete
db: batch=80, k=16, 22 14 28 42 26 4 54 116

SPT(16)	1971672114324890513	0 56 86 110 126 138 144 156 158 170 176 188 204 228 258 314	-2184188212394
STPT(10)	1971672185943035657	0 2 54 56 72 74 90 92 144 146	-2112570067250
SPT(16)	1971672859782585727	0 6 60 66 84 126 174 196 234 256 304 346 364 370 424 430	-1438730517180
STPT(10)	1971673627327860821	0 2 30 32 78 80 126 128 156 158	-671185242086
SPT(16)	1971674114612641697	0 26 122 156 174 180 200 242 264 306 326 332 350 384 480 506	-183900461210
TPT(14)	1971674253883693349	0 2 42 44 48 50 72 74 102 104 222 224 390 392	-44629409558
STPT(10)	1971674422506604601	0 2 36 38 78 80 120 122 156 158	123993501694
SPT(16)	1971674646443571911	0 6 20 30 56 78 86 168 248 330 338 360 386 396 410 416	347930469004
SPT(16)	1971674776886714269	0 12 28 52 58 90 138 142 210 214 262 294 300 324 340 352	478373611362
SPT(16)	1971674931748993213	0 36 58 100 138 156 166 186 190 210 220 238 276 318 340 376	633235890306
STPT(10)	1971675372154004639	0 2 12 14 90 92 168 170 180 182	1073640901732