Prime p₀= 816553488059185319 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: [SG]FX
db: batch=73, k=10, 2 40 2 16 2

SPT(16)	816552382876929703	0 16 30 60 64 120 124 130 180 186 190 246 250 280 294 310	-1105182255616
SPT(16)	816552752738547661	0 12 48 72 82 96 118 160 168 210 232 246 256 280 316 328	-735320637658
STPT(10)	816553011555058829	0 2 18 20 60 62 102 104 120 122	-476504126490
STPT(10)	816553018830749747	0 2 30 32 42 44 54 56 84 86	-469228435572
SPT(16)	816553232458483981	0 6 30 52 76 88 108 112 156 160 180 192 216 238 262 268	-255600701338
SPT(16)	816553293743545373	0 26 30 56 68 96 114 120 134 140 158 186 198 224 228 254	-194315639946
SPT(16)	816553542146406731	0 20 36 60 66 98 102 116 132 146 150 182 188 212 228 248	54087221412
SPT(16)	816553772105621227	0 54 84 96 174 186 192 196 240 244 250 262 340 352 382 436	284046435908
SPT(20)	816554049568059013	0 46 66 100 126 144 184 210 250 256 318 324 364 390 430 448 474 508 528 574	561508873694
SPT(16)	816554099248648217	0 20 30 42 80 90 92 122 132 162 164 174 212 224 234 254	611189462898
SPT(16)	816554363541618787	0 16 42 52 70 144 150 154 222 226 232 306 324 334 360 376	875482433468