Prime p₀= 3006524455484774069 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	3006523506015892727	0 2 42 44 72 74 102 104 144 146	-949468881342
SPT(16)	3006523544145862649	0 44 102 104 110 122 182 314 360 492 552 564 570 572 630 674	-911338911420
SPT(16)	3006523560305386403	0 18 20 44 116 156 168 170 174 176 188 228 300 324 326 344	-895179387666
STPT(10)	3006523560678042701	0 2 6 8 18 20 30 32 36 38	-894806731368
SPT(16)	3006524044082386717	0 16 36 54 94 154 172 180 196 204 222 282 322 340 360 376	-411402387352
SPT(16)	3006524305992774403	0 4 40 46 88 96 100 118 126 144 148 156 198 204 240 244	-149491999666
SPT(16)	3006524552215363481	0 32 38 42 66 92 98 122 156 180 186 212 236 240 246 278	96730589412
STPT(10)	3006524588196101207	0 2 42 44 72 74 102 104 144 146	132711327138
STPT(10)	3006524612013408257	0 2 30 32 72 74 114 116 144 146	156528634188
STPT(10)	3006524668208180759	0 2 48 50 90 92 132 134 180 182	212723406690
SPT(16)	3006524703387928381	0 22 52 70 72 112 162 178 240 256 306 346 348 366 396 418	247903154312