Prime p₀= 3006706707547795517 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	3006704752780303261	0 12 36 42 58 60 82 96 112 126 148 150 166 172 196 208	-1954767492256
STPT(10)	3006705414075854549	0 2 42 44 60 62 78 80 120 122	-1293471940968
SPT(16)	3006705697662656267	0 20 24 26 42 92 104 150 176 222 234 284 300 302 306 326	-1009885139250
STPT(10)	3006705864293416457	0 2 30 32 42 44 54 56 84 86	-843254379060
SPT(16)	3006706283150818799	0 12 14 20 90 92 104 110 174 180 192 194 264 270 272 284	-424396976718
SPT(16)	3006706506713572031	0 6 18 32 80 92 116 140 438 462 486 498 546 560 572 578	-200834223486
TPT(14)	3006706895937004571	0 2 36 38 108 110 120 122 150 152 276 278 348 350	188389209054
SPT(16)	3006707268769727647	0 22 24 34 40 54 90 112 132 154 190 204 210 220 222 244	561221932130
SPT(16)	3006707330549139589	0 28 58 60 78 108 142 168 172 198 232 262 280 282 312 340	623001344072
STPT(10)	3006707708180946941	0 2 6 8 108 110 210 212 216 218	1000633151424
TPT(14)	3006707860287127739	0 2 30 32 42 44 150 152 198 200 288 290 348 350	1152739332222