Prime p₀= 2589576157732963307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2589575494783094813	0 48 56 80 156 168 270 290 294 314 416 428 504 528 536 584	-662949868494
SPT(16)	2589575617026539329	0 34 60 70 82 84 112 130 174 192 220 222 234 244 270 304	-540706423978
SPT(16)	2589575650861343689	0 10 18 88 168 178 184 304 354 474 480 490 570 640 648 658	-506871619618
STPT(10)	2589575776334347259	0 2 18 20 30 32 42 44 60 62	-381398616048
STPT(10)	2589575918796510911	0 2 36 38 78 80 120 122 156 158	-238936452396
STPT(10)	2589575990491299497	0 2 30 32 120 122 210 212 240 242	-167241663810
SPT(16)	2589576454054095383	0 26 54 86 126 128 138 204 230 296 306 308 348 380 408 434	296321132076
SPT(16)	2589576877806186137	0 2 30 36 60 62 72 74 102 104 114 116 140 146 174 176	720073222830
STPT(10)	2589577057022258057	0 2 42 44 72 74 102 104 144 146	899289294750
SPT(16)	2589577397086081667	0 20 30 66 72 114 122 210 236 324 332 374 380 416 426 446	1239353118360
SPT(16)	2589577424030115349	0 12 22 28 52 102 108 112 120 124 130 180 204 210 220 232	1266297152042