Prime p₀= 797114976123034561 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 40 8 10 12 6 6 48 36 26 94 26 36 48 6 6 12 10 8 40 (?)
a_n: 0 40 48 58 70 76 82 130 166 192 286 312 348 396 402 408 420 430 438 478
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: 478
Found by: [SG-2W]Kurzer
db: batch=73, k=20, 40 8 10 12 6 6 48 36 26 94

SPT(16)	797113602366322117	0 34 64 112 120 130 132 142 174 184 186 196 204 252 282 316	-1373756712444
TPT(14)	797113898933023877	0 2 84 86 102 104 162 164 174 176 204 206 282 284	-1077190010684
STPT(12)	797114010224741897	0 2 30 32 84 86 120 122 174 176 204 206	-965898292664
SPT(16)	797114163480195139	0 18 42 54 60 64 78 82 90 94 108 112 118 130 154 172	-812642839422
STPT(10)	797114799283022159	0 2 18 20 30 32 42 44 60 62	-176840012402
SPT(16)	797114849566180039	0 12 34 58 100 202 258 264 328 334 390 492 534 558 580 592	-126556854522
STPT(10)	797115271665636359	0 2 18 20 60 62 102 104 120 122	295542601798
STPT(10)	797115303785770139	0 2 18 20 30 32 42 44 60 62	327662735578
STPT(10)	797115440407386311	0 2 30 32 78 80 126 128 156 158	464284351750
STPT(10)	797115448586547029	0 2 30 32 60 62 90 92 120 122	472463512468
SPT(16)	797115545982219577	0 12 16 24 46 54 64 72 94 102 112 120 142 150 154 166	569859185016