Prime p₀= 1078293179270403539 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: stoneageman
db: batch=76, k=10, 2 40 2 16 2

SPT(16)	1078292659734155017	0 12 34 40 76 96 130 154 192 216 250 270 306 312 334 346	-519536248522
SPT(16)	1078292689790410837	0 10 22 42 52 66 70 72 94 96 100 114 124 144 156 166	-489479992702
SPT(16)	1078292980348456283	0 60 74 120 126 134 146 176 234 264 276 284 290 336 350 410	-198921947256
TPT(14)	1078293054412757861	0 2 30 32 108 110 186 188 228 230 240 242 276 278	-124857645678
SPT(16)	1078293129294635879	0 18 30 60 62 140 150 210 230 290 300 378 380 410 422 440	-49975767660
SPT(16)	1078293139960446287	0 14 20 50 62 80 92 126 170 204 216 234 246 276 282 296	-39309957252
TPT(14)	1078293316337491361	0 2 48 50 90 92 120 122 186 188 240 242 288 290	137067087822
STPT(10)	1078293528645321587	0 2 30 32 42 44 54 56 84 86	349374918048
SPT(16)	1078293651595986583	0 16 18 36 58 64 70 108 196 234 240 246 268 286 288 304	472325583044
SPT(16)	1078293896480631029	0 8 12 30 90 114 132 134 168 170 188 212 272 290 294 302	717210227490
SPT(16)	1078293942831949037	0 56 80 102 116 126 132 150 182 200 206 216 230 252 276 332	763561545498