Prime p₀= 2004130967159574049 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 42 18 28 26 10 6 44 34 44 6 10 26 28 18 42 (?)
a_n: 0 42 60 88 114 124 130 174 208 252 258 268 294 322 340 382
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: 382
Found by: Landjunge
db: batch=80, k=16, 42 18 28 26 10 6 44 34

SPT(16)	2004129233849138083	0 18 34 58 70 78 154 156 328 330 406 414 426 450 466 484	-1733310435966
SPT(16)	2004129324008018059	0 24 40 42 84 114 118 172 180 234 238 268 310 312 328 352	-1643151555990
TPT(14)	2004129590373455201	0 2 18 20 60 62 126 128 180 182 336 338 378 380	-1376786118848
STPT(12)	2004129879907684469	0 2 12 14 42 44 48 50 78 80 90 92	-1087251889580
TPT(14)	2004130483643546939	0 2 30 32 72 74 90 92 132 134 228 230 258 260	-483516027110
SPT(16)	2004130565236869221	0 6 12 32 36 62 66 78 80 92 96 122 126 146 152 158	-401922704828
TPT(14)	2004131022529486601	0 2 18 20 90 92 210 212 216 218 240 242 246 248	55369912552
SPT(16)	2004131129859543283	0 18 40 54 78 100 114 148 180 214 228 250 274 288 310 328	162699969234
SPT(16)	2004131325068689291	0 30 70 172 178 198 220 238 342 360 382 402 408 510 550 580	357909115242
STPT(10)	2004131421655760009	0 2 18 20 30 32 42 44 60 62	454496185960
STPT(10)	2004131463675269189	0 2 48 50 60 62 72 74 120 122	496515695140