Prime p₀= 868128334580424821 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: [AF>EDLS] GGTF
db: batch=73, k=10, 2 34 2 40 2

SPT(13)	868127446538701253	0 6 24 36 90 114 120 126 150 204 216 234 240	-888041723568
SPT(16)	868127481856692143	0 8 56 116 120 140 146 170 204 228 234 254 258 318 366 374	-852723732678
SPT(16)	868127501847296039	0 18 32 48 72 108 150 188 192 230 272 308 332 348 362 380	-832733128782
STPT(10)	868127660208726059	0 2 18 20 30 32 42 44 60 62	-674371698762
TPT(14)	868127684029898141	0 2 66 68 78 80 150 152 258 260 288 290 306 308	-650550526680
SPT(16)	868127754835309123	0 46 70 78 100 126 148 168 226 246 268 294 316 324 348 394	-579745115698
SPT(16)	868128348029342249	0 20 50 54 80 104 128 150 152 174 198 222 248 252 282 302	13448917428
STPT(10)	868128367107989147	0 2 30 32 42 44 54 56 84 86	32527564326
TPT(14)	868128599030745881	0 2 6 8 78 80 90 92 96 98 108 110 138 140	264450321060
STPT(10)	868128625485104297	0 2 12 14 42 44 72 74 84 86	290904679476
SPT(16)	868128677029303189	0 42 58 78 108 162 178 234 238 294 310 364 394 414 430 472	342448878368