Prime p₀= 821682721211498351 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: [SG-2W]Kurzer
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	821681828469477917	0 2 32 50 60 86 110 120 152 162 186 212 222 240 270 272	-892742020434
SPT(16)	821681890140861523	0 34 54 156 166 184 250 274 300 324 390 408 418 520 540 574	-831070636828
STPT(10)	821682288872854217	0 2 12 14 42 44 72 74 84 86	-432338644134
SPT(16)	821682419736481483	0 24 60 70 94 144 190 196 228 234 280 330 354 364 400 424	-301475016868
STPT(10)	821682638647135787	0 2 30 32 42 44 54 56 84 86	-82564362564
STPT(10)	821682702776254349	0 2 30 32 60 62 90 92 120 122	-18435244002
SPT(16)	821682766675727171	0 12 20 26 36 62 66 90 152 176 180 206 216 222 230 242	45464228820
STPT(10)	821682820016435987	0 2 30 32 42 44 54 56 84 86	98804937636
STPT(10)	821682931555680749	0 2 18 20 60 62 102 104 120 122	210344182398
SPT(16)	821683053158666053	0 4 6 18 40 78 84 90 124 130 136 174 196 208 210 214	331947167702
SPT(16)	821683117415686403	0 8 38 50 54 80 140 150 224 234 294 320 324 336 366 374	396204188052