Prime p₀= 2950458156182681623 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 30 18 36 30 36 24 24 36 30 36 18 30 (?)
a_n: 0 30 48 84 114 150 174 198 234 264 300 318 348
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: 348
Found by: Landjunge
db: batch=82, k=13, 30 18 36 30 36 24

SPT(16)	2950456248881428531	0 6 28 40 76 118 136 150 238 252 270 312 348 360 382 388	-1907301253092
STPT(10)	2950456705872577007	0 2 12 14 42 44 72 74 84 86	-1450310104616
TPT(14)	2950456716904665539	0 2 30 32 42 44 48 50 72 74 180 182 240 242	-1439278016084
TPT(14)	2950456913567241977	0 2 42 44 120 122 150 152 162 164 192 194 252 254	-1242615439646
SPT(16)	2950457182833933499	0 4 12 34 48 58 70 84 88 102 114 124 138 160 168 172	-973348748124
STPT(10)	2950457563790681897	0 2 30 32 120 122 210 212 240 242	-592391999726
SPT(16)	2950458291104534797	0 34 70 82 90 112 124 160 186 222 234 256 264 276 312 346	134921853174
SPT(16)	2950458801431772901	0 6 30 70 106 112 132 142 180 190 210 216 252 292 316 322	645249091278
STPT(10)	2950458907679526977	0 2 30 32 42 44 54 56 84 86	751496845354
TPT(14)	2950459047345218819	0 2 18 20 132 134 198 200 450 452 672 674 678 680	891162537196
SPT(16)	2950459205908471291	0 12 42 90 132 156 168 222 256 310 322 346 388 436 466 478	1049725789668