Prime p₀= 1929934612326484403 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 68 16 36 14 12 78 36 34 36 78 12 14 36 16 68 (?)
a_n: 0 68 84 120 134 146 224 260 294 330 408 420 434 470 486 554
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: 554
Found by: Landjunge
db: batch=80, k=16, 68 16 36 14 12 78 36 34

SPT(16)	1929933620612361541	0 6 16 28 52 88 108 132 196 220 240 276 300 312 322 328	-991714122862
STPT(10)	1929933896854279439	0 2 12 14 30 32 48 50 60 62	-715472204964
TPT(14)	1929933929401093919	0 2 78 80 120 122 132 134 252 254 342 344 408 410	-682925390484
STPT(10)	1929934217923048031	0 2 36 38 78 80 120 122 156 158	-394403436372
SPT(16)	1929934557793197443	0 26 50 54 56 74 104 140 144 180 210 228 230 234 258 284	-54533286960
SPT(16)	1929934567705596329	0 30 128 170 182 204 248 260 282 294 338 360 372 414 512 542	-44620888074
SPT(18)	1929934674919608073	0 34 54 58 66 70 84 124 156 178 210 250 264 268 276 280 300 334	62593123670
SPT(16)	1929934702977813253	0 10 18 40 66 78 120 130 144 154 196 208 234 256 264 274	90651328850
SPT(16)	1929935084900447761	0 10 22 28 42 78 90 112 156 178 190 226 240 246 258 268	472573963358
STPT(10)	1929935474465923679	0 2 18 20 30 32 42 44 60 62	862139439276
STPT(10)	1929935536687566407	0 2 24 26 42 44 60 62 84 86	924361082004