Prime p₀= 1597511449349064461 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 38 12 6 52 12 30 32 4 32 30 12 52 6 12 38 (?)
a_n: 0 38 50 56 108 120 150 182 186 218 248 260 312 318 330 368
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: 368
Found by: biodoc
db: batch=78, k=16, 38 12 6 52 12 30 32 4

SPT(18)	1597509683565110321	0 2 30 32 42 80 108 110 140 210 240 242 270 308 318 320 348 350	-1765783954140
SPT(13)	1597509692121046399	0 42 48 90 120 132 150 168 180 210 252 258 300	-1757228018062
STPT(10)	1597510425471243887	0 2 90 92 102 104 114 116 204 206	-1023877820574
SPT(16)	1597510725080366513	0 6 14 48 54 96 138 156 158 176 218 260 266 300 308 314	-724268697948
STPT(10)	1597511033079413897	0 2 30 32 42 44 54 56 84 86	-416269650564
STPT(10)	1597511074383037901	0 2 6 8 48 50 90 92 96 98	-374966026560
SPT(16)	1597512022535192461	0 22 70 76 78 88 90 126 172 208 210 220 222 228 276 298	573186128000
TPT(14)	1597512130543372721	0 2 138 140 150 152 168 170 186 188 210 212 348 350	681194308260
STPT(10)	1597512145523086757	0 2 30 32 42 44 54 56 84 86	696174022296
SPT(16)	1597512321147686737	0 6 30 40 52 72 82 154 162 234 244 264 276 286 310 316	871798622276
SPT(16)	1597512504076474721	0 2 26 32 36 42 66 72 80 86 110 116 120 126 150 152	1054727410260