Prime p₀= 3017009934903674777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	3017007371528416103	0 6 56 60 90 138 158 168 236 246 266 314 344 348 398 404	-2563375258674
SPT(16)	3017007957695587279	0 58 72 90 102 154 160 198 244 282 288 340 352 370 384 442	-1977208087498
SPT(16)	3017008213585640279	0 14 32 48 84 92 134 192 200 258 300 308 344 360 378 392	-1721318034498
STPT(12)	3017008291901804579	0 2 30 32 78 80 120 122 168 170 198 200	-1643001870198
SPT(16)	3017009696465842621	0 12 66 70 96 108 112 148 150 186 190 202 228 232 286 298	-238437832156
STPT(10)	3017009728129625489	0 2 18 20 30 32 42 44 60 62	-206774049288
SPT(16)	3017009970370934453	0 14 18 68 80 86 164 168 266 270 348 354 366 416 420 434	35467259676
SPT(16)	3017010439922269247	0 2 6 44 86 144 156 174 212 230 242 300 342 380 384 386	505018594470
SPT(16)	3017010853597770317	0 12 66 116 150 170 182 200 246 264 276 296 330 380 434 446	918694095540
STPT(10)	3017011146336347087	0 2 30 32 72 74 114 116 144 146	1211432672310
SPT(13)	3017011854923450939	0 24 42 84 90 114 162 210 234 240 282 300 324	1920019776162