Prime p₀= 3011116314506078897 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

SPT(20)	3011115047868864479	0 12 32 50 90 98 102 110 152 210 230 288 330 338 342 350 390 408 428 440	-1266637214418
SPT(16)	3011115060207998083	0 4 84 90 118 156 174 208 216 250 268 306 334 340 420 424	-1254298080814
TPT(16)	3011115205607116481	0 2 96 98 108 110 150 152 156 158 168 170 198 200 228 230	-1108898962416
SPT(16)	3011115571934909003	0 14 24 26 66 68 104 108 206 210 246 248 288 290 300 314	-742571169894
SPT(13)	3011115904756326259	0 12 18 48 60 78 90 102 120 132 162 168 180	-409749752638
SPT(16)	3011115959803995733	0 4 96 180 216 258 268 310 354 396 406 448 484 568 660 664	-354702083164
SPT(16)	3011116503369198401	0 6 38 66 128 146 156 168 170 182 192 210 272 300 332 338	188863119504
SPT(16)	3011116573968992813	0 18 44 78 104 120 200 210 218 228 308 324 350 384 410 428	259462913916
STPT(10)	3011117127887744147	0 2 24 26 42 44 60 62 84 86	813381665250
STPT(10)	3011117139000969137	0 2 60 62 72 74 84 86 144 146	824494890240
STPT(10)	3011117262160460207	0 2 42 44 72 74 102 104 144 146	947654381310