Prime p₀= 2307255909556856123 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 6 54 18 150 18 12 12 18 150 18 54 6 (?)
a_n: 0 6 60 78 228 246 258 270 288 438 456 510 516
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 516
Found by: Alnitak2019
db: batch=81, k=13, 6 54 18 150 18 12

SPT(16)	2307254452542249269	0 2 30 38 54 78 80 104 198 222 224 248 264 272 300 302	-1457014606854
STPT(12)	2307254560244298029	0 2 30 32 72 74 138 140 180 182 210 212	-1349312558094
SPT(16)	2307254724661773571	0 6 16 40 58 72 90 100 198 208 226 240 258 282 292 298	-1184895082552
TPT(14)	2307254932642643171	0 2 66 68 126 128 168 170 180 182 396 398 420 422	-976914212952
SPT(16)	2307255413116730987	0 26 60 84 96 102 140 164 312 336 374 380 392 416 450 476	-496440125136
STPT(10)	2307255673312660517	0 2 42 44 72 74 102 104 144 146	-236244195606
SPT(16)	2307256238456772671	0 6 8 26 50 78 98 150 176 228 248 276 300 318 320 326	328899916548
SPT(16)	2307256353101083973	0 14 30 36 44 56 78 96 98 116 138 150 158 164 180 194	443544227850
SPT(16)	2307256513094832773	0 48 74 110 116 168 200 264 440 504 536 588 594 630 656 704	603537976650
SPT(16)	2307256602720847361	0 2 6 12 26 56 86 96 122 132 162 192 206 212 216 218	693163991238
SPT(16)	2307256732870856101	0 40 48 90 112 130 136 238 240 342 348 366 388 430 438 478	823313999978