Prime p₀= 2804249616659468249 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: arkiss
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2804248448909012137	0 6 54 82 102 120 130 180 196 246 256 274 294 322 370 376	-1167750456112
SPT(16)	2804248465561660597	0 60 102 112 120 124 130 132 154 156 162 166 174 184 226 286	-1151097807652
SPT(16)	2804248491974504021	0 20 32 56 62 66 72 80 108 116 122 126 132 156 168 188	-1124684964228
STPT(10)	2804248503187547201	0 2 30 32 78 80 126 128 156 158	-1113471921048
STPT(10)	2804249507594404349	0 2 18 20 30 32 42 44 60 62	-109065063900
STPT(10)	2804249523001697591	0 2 6 8 18 20 30 32 36 38	-93657770658
SPT(16)	2804249750320923383	0 6 48 50 78 86 110 120 146 156 180 188 216 218 260 266	133661455134
SPT(16)	2804249809855705327	0 30 36 70 112 142 174 244 252 322 354 384 426 460 466 496	193196237078
SPT(13)	2804249989496920849	0 42 108 120 150 162 180 198 210 240 252 318 360	372837452600
TPT(14)	2804250062354483759	0 2 42 44 162 164 168 170 198 200 282 284 288 290	445695015510
STPT(10)	2804250070803477269	0 2 42 44 180 182 318 320 360 362	454144009020