Prime p₀= 2531251755640553653 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 64 6 38 18 18 12 10 2 10 12 18 18 38 6 64 (?)
a_n: 0 64 70 108 126 144 156 166 168 178 190 208 226 264 270 334
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: 334
Found by: JayPi
db: batch=82, k=16, 64 6 38 18 18 12 10 2

SPT(16)	2531251109913208063	0 16 24 30 64 76 90 124 150 184 198 210 244 250 258 274	-645727345590
TPT(14)	2531251354197202361	0 2 6 8 18 20 60 62 96 98 126 128 138 140	-401443351292
SPT(16)	2531251375473193861	0 28 36 46 78 90 130 138 160 168 208 220 252 262 270 298	-380167359792
STPT(10)	2531251442450718311	0 2 36 38 78 80 120 122 156 158	-313189835342
STPT(10)	2531251644971833109	0 2 18 20 30 32 42 44 60 62	-110668720544
SPT(16)	2531251677913098683	0 36 44 60 74 78 90 116 228 254 266 270 284 300 308 344	-77727454970
TPT(14)	2531251824796283669	0 2 42 44 90 92 150 152 420 422 432 434 498 500	69155730016
SPT(16)	2531251849756983251	0 12 90 92 120 156 222 246 266 290 356 392 420 422 500 512	94116429598
SPT(16)	2531251932381880381	0 36 58 76 88 108 112 156 232 276 280 300 312 330 352 388	176741326728
STPT(10)	2531252406155597141	0 2 78 80 108 110 138 140 216 218	650515043488
STPT(10)	2531252509850934869	0 2 18 20 30 32 42 44 60 62	754210381216