Prime p₀= 1236770231388446239 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 4 42 2 18 24 16 2 16 24 18 2 42 4 24 (?)
a_n: 0 24 28 70 72 90 114 130 132 148 172 190 192 234 238 262
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: 262
Found by: MarkRBright
db: batch=77, k=16, 24 4 42 2 18 24 16 2

SPT(16)	1236769207196548213	0 6 48 60 90 108 138 144 160 166 196 214 244 256 298 304	-1024191898026
STPT(10)	1236769236302383097	0 2 12 14 42 44 72 74 84 86	-995086063142
SPT(20)	1236769862782083401	0 38 56 62 72 158 162 186 200 228 230 258 272 296 300 386 396 402 420 458	-368606362838
SPT(16)	1236769936457440729	0 18 22 24 42 54 88 94 138 144 178 190 208 210 214 232	-294931005510
SPT(16)	1236770064574162627	0 10 36 46 64 84 90 124 132 166 172 192 210 220 246 256	-166814283612
TPT(14)	1236770067019953731	0 2 108 110 126 128 150 152 156 158 180 182 336 338	-164368492508
SPT(16)	1236770328199858759	0 10 28 30 42 48 58 72 88 102 112 118 130 132 150 160	96811412520
TPT(14)	1236770585074190459	0 2 12 14 60 62 72 74 192 194 198 200 228 230	353685744220
STPT(10)	1236770585389607237	0 2 54 56 72 74 90 92 144 146	354001160998
STPT(10)	1236770825044707749	0 2 18 20 30 32 42 44 60 62	593656261510
SPT(16)	1236770867863631267	0 66 114 122 140 156 164 186 290 312 320 336 354 362 410 476	636475185028