Prime p₀= 3006149455401414167 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	3006147487333100951	0 38 42 66 140 150 162 192 236 266 278 288 362 386 390 428	-1968068313216
STPT(10)	3006147918318272549	0 2 48 50 90 92 132 134 180 182	-1537083141618
SPT(16)	3006148432836117637	0 52 76 94 112 132 160 190 216 246 274 294 312 330 354 406	-1022565296530
STPT(10)	3006148501808415581	0 2 36 38 78 80 120 122 156 158	-953592998586
STPT(12)	3006148934657851859	0 2 30 32 42 44 48 50 60 62 90 92	-520743562308
TPT(14)	3006149296217547449	0 2 30 32 90 92 132 134 210 212 222 224 300 302	-159183866718
STPT(10)	3006149677201644287	0 2 12 14 42 44 72 74 84 86	221800230120
SPT(16)	3006149710773462613	0 10 34 64 106 136 216 250 330 364 444 474 516 546 570 580	255372048446
SPT(16)	3006149715382164553	0 54 88 90 208 210 228 244 264 280 298 300 418 420 454 508	259980750386
SPT(16)	3006150400382377043	0 14 24 54 56 60 78 168 176 266 284 288 290 320 330 344	944980962876
SPT(16)	3006150640137709511	0 56 62 68 72 80 108 116 222 230 258 266 270 276 282 338	1184736295344