Prime p₀= 1021179906864714481 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 30 36 12 42 6 162 162 6 42 12 36 30 (?)
a_n: 0 30 66 78 120 126 288 450 456 498 510 546 576
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: 576
Found by: Skivelitis2
db: batch=76, k=13, 30 36 12 42 6 162

SPT(16)	1021179301759576667	0 2 14 24 26 42 66 96 110 140 164 180 182 192 204 206	-605105137814
SPT(16)	1021179470459461471	0 12 16 22 28 46 58 130 138 210 222 240 246 252 256 268	-436405253010
SPT(16)	1021179504832990249	0 22 48 54 70 112 120 138 154 172 180 222 238 244 270 292	-402031724232
TPT(14)	1021179697724447951	0 2 48 50 60 62 96 98 138 140 180 182 216 218	-209140266530
STPT(10)	1021179697724448011	0 2 36 38 78 80 120 122 156 158	-209140266470
STPT(10)	1021179708572980181	0 2 36 38 78 80 120 122 156 158	-198291734300
SPT(16)	1021179972733832209	0 30 42 58 72 78 138 154 168 184 244 250 264 280 292 322	65869117728
STPT(10)	1021179998560309769	0 2 18 20 30 32 42 44 60 62	91695595288
STPT(10)	1021180193865175439	0 2 18 20 30 32 42 44 60 62	287000460958
SPT(16)	1021180362651068069	0 2 30 42 60 90 120 132 170 182 212 242 260 272 300 302	455786353588
TPT(16)	1021180881536711381	0 2 36 38 276 278 288 290 390 392 510 512 516 518 540 542	974671996900