Prime p₀= 3017964645579746867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: 266
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 88 2

SPT(16)	3017962691325307237	0 12 66 72 94 100 156 172 204 220 276 282 304 310 364 376	-1954254439630
TPT(14)	3017963329003576739	0 2 30 32 42 44 162 164 198 200 210 212 240 242	-1316576170128
SPT(16)	3017963403105191687	0 60 116 126 146 150 170 306 326 462 482 486 506 516 572 632	-1242474555180
SPT(16)	3017964018501798013	0 18 30 36 88 118 126 130 156 160 168 198 250 256 268 286	-627077948854
SPT(16)	3017964513578798767	0 12 40 42 64 70 76 90 106 120 126 132 154 156 184 196	-132000948100
SPT(16)	3017964534575949713	0 86 150 170 174 186 216 264 326 374 404 416 420 440 504 590	-111003797154
TPT(14)	3017964648870655619	0 2 42 44 102 104 378 380 408 410 420 422 438 440	3290908752
STPT(10)	3017964901721389559	0 2 18 20 30 32 42 44 60 62	256141642692
TPT(14)	3017965421202130871	0 2 36 38 96 98 108 110 180 182 258 260 300 302	775622384004
SPT(16)	3017966339518602763	0 4 16 18 30 36 58 84 100 126 148 154 166 168 180 184	1693938855896
SPT(16)	3017966512204003933	0 6 30 46 48 84 94 114 130 150 160 196 198 214 238 244	1866624257066