Prime p₀= 1971674114612641697 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 26 96 34 18 6 20 42 22 42 20 6 18 34 96 26 (?)
a_n: 0 26 122 156 174 180 200 242 264 306 326 332 350 384 480 506
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: 506
Found by: Cruncher Pete
db: batch=80, k=16, 26 96 34 18 6 20 42 22

SPT(16)	1971671702091897979	0 24 28 34 42 60 64 82 90 108 112 130 138 144 148 172	-2412520743718
STPT(10)	1971672044660046611	0 2 36 38 78 80 120 122 156 158	-2069952595086
SPT(16)	1971672114324890513	0 56 86 110 126 138 144 156 158 170 176 188 204 228 258 314	-2000287751184
STPT(10)	1971672185943035657	0 2 54 56 72 74 90 92 144 146	-1928669606040
SPT(16)	1971672859782585727	0 6 60 66 84 126 174 196 234 256 304 346 364 370 424 430	-1254830055970
STPT(10)	1971673627327860821	0 2 30 32 78 80 126 128 156 158	-487284780876
TPT(14)	1971674253883693349	0 2 42 44 48 50 72 74 102 104 222 224 390 392	139271051652
SPT(16)	1971674298513102907	0 22 36 64 106 132 136 190 306 360 364 390 432 460 474 496	183900461210
STPT(10)	1971674422506604601	0 2 36 38 78 80 120 122 156 158	307893962904
SPT(16)	1971674646443571911	0 6 20 30 56 78 86 168 248 330 338 360 386 396 410 416	531830930214
SPT(16)	1971674776886714269	0 12 28 52 58 90 138 142 210 214 262 294 300 324 340 352	662274072572