Prime p₀= 820115612224523431 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 46 14 6 4 20 12 6 22 6 12 20 4 6 14 46 (?)
a_n: 0 46 60 66 70 90 102 108 130 136 148 168 172 178 192 238
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: 238
Found by: [SG]FX
db: batch=73, k=16, 46 14 6 4 20 12 6 22

SPT(16)	820114577220362537	0 2 12 14 42 60 66 80 156 170 176 194 222 224 234 236	-1035004160894
STPT(10)	820114831414075187	0 2 12 14 42 44 72 74 84 86	-780810448244
STPT(10)	820114842268673891	0 2 36 38 78 80 120 122 156 158	-769955849540
STPT(10)	820114969957215797	0 2 42 44 72 74 102 104 144 146	-642267307634
STPT(10)	820115423368875251	0 2 36 38 78 80 120 122 156 158	-188855648180
SPT(20)	820115494550275969	0 30 42 58 64 84 90 114 154 160 192 198 238 262 268 288 294 310 322 352	-117674247462
SPT(16)	820115692569186647	0 2 32 56 140 152 182 186 296 300 330 342 426 450 480 482	80344663216
STPT(10)	820116244612731749	0 2 12 14 90 92 168 170 180 182	632388208318
STPT(10)	820116342800633687	0 2 30 32 42 44 54 56 84 86	730576110256
SPT(16)	820116522166740823	0 10 40 66 76 100 156 166 168 178 234 258 268 294 324 334	909942217392
SPT(16)	820116619209030491	0 20 38 50 60 66 80 102 206 228 242 248 258 270 288 308	1006984507060