Prime p₀= 2305021013050486331 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 12 44 30 42 40 84 6 92 18 22 18 92 6 84 40 42 30 44 12 (?)
a_n: 0 12 56 86 128 168 252 258 350 368 390 408 500 506 590 630 672 702 746 758
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: 758
Found by: Orange Kid
db: batch=81, k=20, 12 44 30 42 40 84 6 92 18 22

STPT(10)	2305019745789434027	0 2 12 14 72 74 132 134 144 146	-1267261052304
SPT(16)	2305020364943636117	0 12 50 110 120 126 140 144 152 156 170 176 186 246 284 296	-648106850214
STPT(12)	2305020693577338179	0 2 18 20 42 44 78 80 102 104 120 122	-319473148152
SPT(16)	2305020768628975381	0 28 76 88 96 102 108 138 160 190 196 202 210 222 270 298	-244421510950
STPT(12)	2305020849744294359	0 2 18 20 72 74 138 140 192 194 210 212	-163306191972
STPT(10)	2305020975501181841	0 2 36 38 78 80 120 122 156 158	-37549304490
SPT(16)	2305021043665373947	0 16 40 46 64 96 114 132 154 172 190 222 240 246 270 286	30614887616
STPT(10)	2305021555663776797	0 2 12 14 42 44 72 74 84 86	542613290466
SPT(16)	2305021730167495813	0 18 28 88 90 130 138 154 234 250 258 298 300 360 370 388	717117009482
STPT(10)	2305021781296439501	0 2 6 8 18 20 30 32 36 38	768245953170
SPT(16)	2305022404507361797	0 10 16 24 30 42 46 52 144 150 154 166 172 180 186 196	1391456875466