Prime p₀= 2804249523001697591 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 38
Found by: arkiss
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2804248232816220797	0 12 80 96 104 122 140 164 192 216 234 252 260 276 344 356	-1290185476794
SPT(16)	2804248448909012137	0 6 54 82 102 120 130 180 196 246 256 274 294 322 370 376	-1074092685454
SPT(16)	2804248465561660597	0 60 102 112 120 124 130 132 154 156 162 166 174 184 226 286	-1057440036994
SPT(16)	2804248491974504021	0 20 32 56 62 66 72 80 108 116 122 126 132 156 168 188	-1031027193570
STPT(10)	2804248503187547201	0 2 30 32 78 80 126 128 156 158	-1019814150390
STPT(10)	2804249507594404349	0 2 18 20 30 32 42 44 60 62	-15407293242
STPT(10)	2804249616659468249	0 2 18 20 30 32 42 44 60 62	93657770658
SPT(16)	2804249750320923383	0 6 48 50 78 86 110 120 146 156 180 188 216 218 260 266	227319225792
SPT(16)	2804249809855705327	0 30 36 70 112 142 174 244 252 322 354 384 426 460 466 496	286854007736
SPT(13)	2804249989496920849	0 42 108 120 150 162 180 198 210 240 252 318 360	466495223258
TPT(14)	2804250062354483759	0 2 42 44 162 164 168 170 198 200 282 284 288 290	539352786168