Prime p₀= 3006523560678042701 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	3006523185660225677	0 12 14 56 62 96 140 146 210 216 260 294 300 342 344 356	-375017817024
SPT(16)	3006523484351038471	0 22 28 36 66 100 136 150 238 252 288 322 352 360 366 388	-76327004230
STPT(10)	3006523499506414211	0 2 30 32 78 80 126 128 156 158	-61171628490
STPT(10)	3006523506015892727	0 2 42 44 72 74 102 104 144 146	-54662149974
SPT(16)	3006523544145862649	0 44 102 104 110 122 182 314 360 492 552 564 570 572 630 674	-16532180052
SPT(16)	3006523560305386403	0 18 20 44 116 156 168 170 174 176 188 228 300 324 326 344	-372656298
SPT(16)	3006524044082386717	0 16 36 54 94 154 172 180 196 204 222 282 322 340 360 376	483404344016
SPT(16)	3006524305992774403	0 4 40 46 88 96 100 118 126 144 148 156 198 204 240 244	745314731702
STPT(10)	3006524455484774069	0 2 18 20 30 32 42 44 60 62	894806731368
SPT(16)	3006524552215363481	0 32 38 42 66 92 98 122 156 180 186 212 236 240 246 278	991537320780
STPT(10)	3006524588196101207	0 2 42 44 72 74 102 104 144 146	1027518058506