Prime p₀= 1022778040219127851 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 16 44 12 54 24 18 52 68 52 18 24 54 12 44 16 (?)
a_n: 0 16 60 72 126 150 168 220 288 340 358 382 436 448 492 508
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 508
Found by: Theadalus
db: batch=76, k=16, 16 44 12 54 24 18 52 68

SPT(16)	1022776334880169201	0 12 48 76 78 120 142 178 180 216 238 280 282 310 346 358	-1705338958650
SPT(16)	1022776506760144979	0 20 38 62 72 98 128 134 168 174 204 230 240 264 282 302	-1533458982872
STPT(10)	1022776734267268229	0 2 18 20 30 32 42 44 60 62	-1305951859622
STPT(10)	1022777197211082737	0 2 54 56 72 74 90 92 144 146	-843008045114
STPT(10)	1022777530657575521	0 2 6 8 48 50 90 92 96 98	-509561552330
STPT(10)	1022777582443663127	0 2 54 56 72 74 90 92 144 146	-457775464724
STPT(10)	1022778289596950981	0 2 6 8 48 50 90 92 96 98	249377823130
STPT(10)	1022778318861784097	0 2 30 32 42 44 54 56 84 86	278642656246
SPT(16)	1022778485509538729	0 2 12 30 44 48 54 98 114 158 164 168 182 200 210 212	445290410878
SPT(16)	1022778561156695423	0 36 44 56 80 84 120 146 198 224 260 264 288 300 308 344	520937567572
SPT(16)	1022778564707029969	0 12 24 124 132 144 222 280 282 340 418 430 438 538 550 562	524487902118