Prime p₀= 1929129178144965037 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 6 12 24 6 40 38 46 38 40 6 24 12 6 24 (?)
a_n: 0 24 30 42 66 72 112 150 196 234 274 280 304 316 322 346
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: 346
Found by: Landjunge
db: batch=80, k=16, 24 6 12 24 6 40 38 46

SPT(16)	1929128189964585187	0 54 64 84 106 180 184 190 216 222 226 300 322 342 352 406	-988180379850
SPT(16)	1929128244212883811	0 18 30 82 88 108 126 132 136 142 160 180 186 238 250 268	-933932081226
SPT(16)	1929128545026979771	0 10 40 48 96 100 118 126 142 150 168 172 220 228 258 268	-633117985266
SPT(16)	1929128850978432737	0 20 30 62 84 96 132 144 182 194 230 242 264 296 306 326	-327166532300
SPT(16)	1929128959977892759	0 28 52 64 100 102 108 130 132 154 160 162 198 210 234 262	-218167072278
STPT(10)	1929129158524839317	0 2 54 56 72 74 90 92 144 146	-19620125720
STPT(10)	1929129222125033471	0 2 6 8 48 50 90 92 96 98	43980068434
STPT(10)	1929129366796665359	0 2 18 20 30 32 42 44 60 62	188651700322
STPT(10)	1929129564725093189	0 2 18 20 30 32 42 44 60 62	386580128152
SPT(16)	1929129763325790871	0 10 30 42 52 82 192 250 252 310 420 450 460 472 492 502	585180825834
STPT(10)	1929130023922634579	0 2 48 50 90 92 132 134 180 182	845777669542