Prime p₀= 1223643120166667267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: modesti
db: batch=77, k=10, 2 58 2 10 2

SPT(16)	1223642155487244817	0 16 22 60 84 102 114 136 210 232 244 262 286 324 330 346	-964679422450
SPT(16)	1223642604941721931	0 16 66 96 120 130 156 180 196 220 246 256 280 310 360 376	-515224945336
SPT(16)	1223642709340603703	0 20 26 30 54 56 74 128 156 210 228 230 254 258 264 284	-410826063564
STPT(10)	1223642755870224329	0 2 48 50 90 92 132 134 180 182	-364296442938
TPT(14)	1223642785057439489	0 2 42 44 138 140 150 152 162 164 198 200 210 212	-335109227778
STPT(10)	1223643014773684787	0 2 60 62 72 74 84 86 144 146	-105392982480
SPT(16)	1223643191482965971	0 86 90 116 170 180 200 266 300 366 386 396 450 476 480 566	71316298704
SPT(16)	1223643420739440031	0 60 78 100 126 148 162 238 270 346 360 382 408 430 448 508	300572772764
STPT(10)	1223643472530780617	0 2 30 32 42 44 54 56 84 86	352364113350
SPT(16)	1223643570011836331	0 30 72 98 108 122 176 212 246 282 336 350 360 386 428 458	449845169064
SPT(16)	1223643766854979357	0 12 34 42 60 66 82 112 114 144 160 166 184 192 214 226	646688312090