Prime p₀= 724965409683397873 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 36 6 36 12 6 56 4 56 6 12 36 6 36 28 (?)
a_n: 0 28 64 70 106 118 124 180 184 240 246 258 294 300 336 364
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: 364
Found by: stasieks
db: batch=73, k=16, 28 36 6 36 12 6 56 4

SPT(18)	724964419978827359	0 14 60 62 74 84 92 104 174 200 270 282 290 300 312 314 360 374	-989704570514
SPT(16)	724964620942114237	0 12 42 54 90 102 112 124 132 144 154 166 202 214 244 256	-788741283636
STPT(10)	724964685169281017	0 2 24 26 42 44 60 62 84 86	-724514116856
TPT(14)	724964990600426687	0 2 102 104 114 116 144 146 192 194 210 212 282 284	-419082971186
STPT(10)	724965130175419799	0 2 78 80 120 122 162 164 240 242	-279507978074
TPT(14)	724965350876822369	0 2 12 14 18 20 30 32 138 140 222 224 228 230	-58806575504
SPT(16)	724965625031397391	0 6 10 42 48 76 118 136 162 180 222 250 256 288 292 298	215347999518
SPT(16)	724965632900512753	0 24 36 60 114 126 136 156 178 198 208 220 274 298 310 334	223217114880
STPT(10)	724965649225320617	0 2 30 32 102 104 174 176 204 206	239541922744
STPT(10)	724965679240446701	0 2 30 32 78 80 126 128 156 158	269557048828
STPT(10)	724965750571162277	0 2 60 62 72 74 84 86 144 146	340887764404