Prime p₀= 2664589169356245959 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-FC] hl
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2664587417134650307	0 10 34 40 70 72 82 100 126 144 154 156 186 192 216 226	-1752221595652
SPT(16)	2664587468528257099	0 10 48 58 60 64 112 114 148 150 198 202 204 214 252 262	-1700827988860
SPT(16)	2664587622392115269	0 44 48 62 108 114 120 128 174 182 188 194 240 254 258 302	-1546964130690
SPT(16)	2664587717626836257	0 6 14 20 32 36 84 104 132 152 200 204 216 222 230 236	-1451729409702
STPT(10)	2664588695807928689	0 2 48 50 60 62 72 74 120 122	-473548317270
STPT(10)	2664588754748241899	0 2 48 50 90 92 132 134 180 182	-414608004060
STPT(10)	2664589419435206441	0 2 6 8 48 50 90 92 96 98	250078960482
SPT(16)	2664589548519315839	0 14 32 78 122 134 140 162 380 402 408 420 464 510 528 542	379163069880
STPT(10)	2664589882168250159	0 2 12 14 90 92 168 170 180 182	712812004200
SPT(16)	2664589948635749951	0 12 38 42 102 122 138 182 186 230 246 266 326 330 356 368	779279503992
SPT(16)	2664590408282407373	0 18 138 146 156 216 236 240 266 270 290 350 360 368 488 506	1238926161414