Prime p₀= 2158271581367283793 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 34 14 18 52 8 4 36 24 14 16 14 24 36 4 8 52 18 14 34 (?)
a_n: 0 34 48 66 118 126 130 166 190 204 220 234 258 294 298 306 358 376 390 424
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 424
Found by: Landjunge
db: batch=81, k=20, 34 14 18 52 8 4 36 24 14 16

SPT(16)	2158270273835585951	0 20 30 42 68 98 110 138 242 270 282 312 338 350 360 380	-1307531697842
STPT(12)	2158270675062034829	0 2 60 62 72 74 90 92 102 104 162 164	-906305248964
SPT(16)	2158270936908553567	0 16 66 72 106 112 126 130 132 136 150 156 190 196 246 262	-644458730226
TPT(14)	2158270955396156267	0 2 102 104 240 242 300 302 330 332 342 344 372 374	-625971127526
SPT(16)	2158271184293941543	0 10 24 54 78 120 144 154 180 190 214 256 280 310 324 334	-397073342250
SPT(16)	2158271219538516673	0 6 10 30 76 90 108 126 148 166 184 198 244 264 268 274	-361828767120
SPT(18)	2158271747941005247	0 22 42 64 94 130 144 204 244 390 430 490 504 540 570 592 612 634	166573721454
SPT(16)	2158271804429622569	0 30 48 62 72 74 98 122 150 174 198 200 210 224 242 272	223062338776
STPT(10)	2158272084099592997	0 2 30 32 42 44 54 56 84 86	502732309204
SPT(16)	2158272912797854739	0 18 24 50 54 68 98 138 164 204 234 248 252 278 284 302	1331430570946
TPT(14)	2158273059327225779	0 2 72 74 108 110 120 122 162 164 222 224 240 242	1477959941986