Prime p₀= 1268685803812076509 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 4 26 24 4 12 12 32 18 36 16 36 18 32 12 12 4 24 26 4 (?)
a_n: 0 4 30 54 58 70 82 114 132 168 184 220 238 270 282 294 298 322 348 352
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: 352
Found by: Megacruncher
db: batch=77, k=20, 4 26 24 4 12 12 32 18 36 16

STPT(10)	1268684259311637059	0 2 78 80 150 152 222 224 300 302	-1544500439450
STPT(10)	1268684366265425267	0 2 12 14 72 74 132 134 144 146	-1437546651242
SPT(16)	1268684940483946669	0 94 120 150 208 210 220 238 270 288 298 300 358 388 414 508	-863328129840
SPT(16)	1268685560839368851	0 12 20 26 92 98 126 152 156 182 210 216 282 288 296 308	-242972707658
STPT(10)	1268685623961751859	0 2 42 44 90 92 138 140 180 182	-179850324650
STPT(10)	1268685785891357159	0 2 18 20 30 32 42 44 60 62	-17920719350
SPT(16)	1268685826020944021	0 18 26 48 110 116 138 150 176 188 210 216 278 300 308 326	22208867512
SPT(16)	1268686245546829009	0 4 18 84 94 102 124 132 340 348 370 378 388 454 468 472	441734752500
TPT(14)	1268686413319141307	0 2 12 14 30 32 150 152 162 164 204 206 210 212	609507064798
STPT(10)	1268686476967738637	0 2 12 14 42 44 72 74 84 86	673155662128
SPT(16)	1268686579417024967	0 50 110 122 132 150 182 224 300 342 374 392 402 414 474 524	775604948458