Prime p₀= 2352333937695650297 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 26 4 2 4 6 74 16 8 16 74 6 4 2 4 26 (?)
a_n: 0 26 30 32 36 42 116 132 140 156 230 236 240 242 246 272
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: 272
Found by: MarkRBright
db: batch=81, k=16, 26 4 2 4 6 74 16 8

SPT(16)	2352333058927516081	0 28 46 48 60 88 96 102 106 112 120 148 160 162 180 208	-878768134216
STPT(12)	2352333162314409887	0 2 30 32 42 44 72 74 84 86 114 116	-775381240410
STPT(10)	2352333175805747801	0 2 6 8 18 20 30 32 36 38	-761889902496
SPT(16)	2352333281440369321	0 22 30 72 96 118 120 178 180 238 240 262 286 328 336 358	-656255280976
STPT(10)	2352333321242019671	0 2 6 8 48 50 90 92 96 98	-616453630626
SPT(16)	2352333921010946539	0 18 64 108 120 148 160 214 234 288 300 328 340 384 430 448	-16684703758
SPT(16)	2352334033644294541	0 30 90 108 150 240 268 282 298 312 340 430 472 490 550 580	95948644244
STPT(10)	2352334695483143177	0 2 42 44 72 74 102 104 144 146	757787492880
STPT(10)	2352335025912771017	0 2 30 32 42 44 54 56 84 86	1088217120720
SPT(16)	2352335026177071289	0 30 100 112 144 160 190 204 238 252 282 298 330 342 412 442	1088481420992
TPT(14)	2352335777027332511	0 2 6 8 60 62 120 122 186 188 258 260 330 332	1839331682214