Prime p₀= 2664588695807928689 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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 46 2 10 2

SPT(18)	2664586710804556469	0 2 38 72 110 122 128 150 158 162 170 192 198 210 248 282 318 320	-1985003372220
SPT(16)	2664587178344756201	0 26 32 56 62 78 92 182 186 276 290 306 312 336 342 368	-1517463172488
SPT(16)	2664587417134650307	0 10 34 40 70 72 82 100 126 144 154 156 186 192 216 226	-1278673278382
SPT(16)	2664587468528257099	0 10 48 58 60 64 112 114 148 150 198 202 204 214 252 262	-1227279671590
SPT(16)	2664587622392115269	0 44 48 62 108 114 120 128 174 182 188 194 240 254 258 302	-1073415813420
SPT(16)	2664587717626836257	0 6 14 20 32 36 84 104 132 152 200 204 216 222 230 236	-978181092432
STPT(10)	2664588754748241899	0 2 48 50 90 92 132 134 180 182	58940313210
STPT(10)	2664589169356245959	0 2 42 44 60 62 78 80 120 122	473548317270
STPT(10)	2664589419435206441	0 2 6 8 48 50 90 92 96 98	723627277752
SPT(16)	2664589548519315839	0 14 32 78 122 134 140 162 380 402 408 420 464 510 528 542	852711387150
STPT(10)	2664589882168250159	0 2 12 14 90 92 168 170 180 182	1186360321470