Prime p₀= 741619414436301889 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 24 64 14 10 6 6 6 48 26 48 6 6 6 10 14 64 24 (?)
a_n: 0 24 88 102 112 118 124 130 178 204 252 258 264 270 280 294 358 382
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: 382
Found by: Theadalus
db: batch=73, k=18, 24 64 14 10 6 6 6 48 26

STPT(10)	741618224865793277	0 2 30 32 60 62 90 92 120 122	-1189570508612
SPT(16)	741618331845203327	0 12 32 54 60 72 92 102 194 204 224 236 242 264 284 296	-1082591098562
STPT(10)	741618516921906971	0 2 6 8 48 50 90 92 96 98	-897514394918
STPT(10)	741618575427090341	0 2 36 38 78 80 120 122 156 158	-839009211548
STPT(10)	741618849048121391	0 2 6 8 48 50 90 92 96 98	-565388180498
SPT(20)	741618930583861933	0 30 64 78 84 100 106 108 120 148 186 214 226 228 234 250 256 270 304 334	-483852439956
STPT(10)	741619853217734501	0 2 6 8 48 50 90 92 96 98	438781432612
SPT(16)	741620443778088661	0 28 90 106 108 120 132 150 178 196 208 220 222 238 300 328	1029341786772
SPT(16)	741620698799668099	0 40 70 114 118 184 234 250 252 268 318 384 388 432 462 502	1284363366210
TPT(14)	741620898234834647	0 2 72 74 120 122 234 236 240 242 252 254 282 284	1483798532758
STPT(10)	741620984256828881	0 2 6 8 18 20 30 32 36 38	1569820526992