Prime p₀= 2664588754748241899 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2664587178344756201	0 26 32 56 62 78 92 182 186 276 290 306 312 336 342 368	-1576403485698
SPT(16)	2664587417134650307	0 10 34 40 70 72 82 100 126 144 154 156 186 192 216 226	-1337613591592
SPT(16)	2664587468528257099	0 10 48 58 60 64 112 114 148 150 198 202 204 214 252 262	-1286219984800
SPT(16)	2664587622392115269	0 44 48 62 108 114 120 128 174 182 188 194 240 254 258 302	-1132356126630
SPT(16)	2664587717626836257	0 6 14 20 32 36 84 104 132 152 200 204 216 222 230 236	-1037121405642
STPT(10)	2664588695807928689	0 2 48 50 60 62 72 74 120 122	-58940313210
STPT(10)	2664589169356245959	0 2 42 44 60 62 78 80 120 122	414608004060
STPT(10)	2664589419435206441	0 2 6 8 48 50 90 92 96 98	664686964542
SPT(16)	2664589548519315839	0 14 32 78 122 134 140 162 380 402 408 420 464 510 528 542	793771073940
STPT(10)	2664589882168250159	0 2 12 14 90 92 168 170 180 182	1127420008260
SPT(16)	2664589948635749951	0 12 38 42 102 122 138 182 186 230 246 266 326 330 356 368	1193887508052