Prime p₀= 1057538177701583411 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 8 4 18 12 56 84 4 26 64 26 4 84 56 12 18 4 8 (?)
a_n: 0 8 12 30 42 98 182 186 212 276 302 306 390 446 458 476 480 488
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 488
Found by: Theadalus
db: batch=76, k=18, 8 4 18 12 56 84 4 26 64

STPT(10)	1057537450479154199	0 2 42 44 60 62 78 80 120 122	-727222429212
STPT(10)	1057537521823229771	0 2 30 32 78 80 126 128 156 158	-655878353640
SPT(20)	1057537526145130967	0 14 24 62 80 164 200 216 266 290 336 360 410 426 462 546 564 602 612 626	-651556452444
STPT(10)	1057537820736403997	0 2 12 14 72 74 132 134 144 146	-356965179414
SPT(13)	1057537947616536571	0 6 48 66 78 96 108 120 138 150 168 210 216	-230085046840
STPT(10)	1057538107279421819	0 2 42 44 60 62 78 80 120 122	-70422161592
SPT(16)	1057538178714002771	0 42 62 66 126 128 132 146 192 206 210 212 272 276 296 338	1012419360
STPT(10)	1057538393517836861	0 2 36 38 78 80 120 122 156 158	215816253450
SPT(16)	1057538450076944911	0 36 52 60 66 82 88 108 190 210 216 232 238 246 262 298	272375361500
STPT(10)	1057538452625415347	0 2 30 32 72 74 114 116 144 146	274923831936
SPT(16)	1057538582500102231	0 40 42 46 48 96 100 102 226 228 232 280 282 286 288 328	404798518820