Prime p₀= 1286022352987631507 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: Cruncher Pete
db: batch=77, k=10, 2 82 2 46 2

STPT(10)	1286021206470200831	0 2 36 38 78 80 120 122 156 158	-1146517430676
SPT(16)	1286021357725404947	0 26 44 56 62 72 96 110 126 140 164 174 180 192 210 236	-995262226560
STPT(10)	1286021597042976551	0 2 6 8 18 20 30 32 36 38	-755944654956
SPT(16)	1286021831035142291	0 12 48 90 96 102 180 200 258 278 356 362 368 410 446 458	-521952489216
STPT(10)	1286022027081576539	0 2 18 20 30 32 42 44 60 62	-325906054968
SPT(16)	1286022203340611431	0 6 28 60 66 148 186 256 300 370 408 490 496 528 550 556	-149647020076
STPT(10)	1286022403680784037	0 2 30 32 72 74 114 116 144 146	50693152530
SPT(13)	1286022441710187149	0 30 48 72 138 198 210 222 282 348 372 390 420	88722555642
SPT(16)	1286022490606437743	0 66 68 90 96 98 110 126 200 216 228 230 236 258 260 326	137618806236
SPT(16)	1286022646003934653	0 6 16 34 36 66 70 90 94 114 118 148 150 168 178 184	293016303146
SPT(16)	1286022839012321351	0 2 32 56 138 140 182 186 212 216 258 260 342 366 396 398	486024689844