Prime p₀= 3006524668208180759 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	3006524044082386717	0 16 36 54 94 154 172 180 196 204 222 282 322 340 360 376	-624125794042
SPT(16)	3006524305992774403	0 4 40 46 88 96 100 118 126 144 148 156 198 204 240 244	-362215406356
STPT(10)	3006524455484774069	0 2 18 20 30 32 42 44 60 62	-212723406690
SPT(16)	3006524552215363481	0 32 38 42 66 92 98 122 156 180 186 212 236 240 246 278	-115992817278
STPT(10)	3006524588196101207	0 2 42 44 72 74 102 104 144 146	-80012079552
STPT(10)	3006524612013408257	0 2 30 32 72 74 114 116 144 146	-56194772502
SPT(16)	3006524703387928381	0 22 52 70 72 112 162 178 240 256 306 346 348 366 396 418	35179747622
SPT(16)	3006524870218910959	0 58 64 78 130 132 168 174 268 274 310 312 364 378 384 442	202010730200
STPT(10)	3006525016218507149	0 2 42 44 60 62 78 80 120 122	348010326390
SPT(16)	3006525098175689023	0 6 48 76 84 94 136 160 174 198 240 250 258 286 328 334	429967508264
SPT(16)	3006525301715385277	0 10 34 64 70 76 90 114 196 220 234 240 246 276 300 310	633507204518