Prime p₀= 1074967306886192567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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-FC] hl
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1074965934526481869	0 22 58 100 124 132 172 202 210 240 280 288 312 354 390 412	-1372359710698
STPT(10)	1074966735404406191	0 2 6 8 48 50 90 92 96 98	-571481786376
SPT(16)	1074966782642850689	0 8 42 54 92 168 182 194 198 210 224 300 338 350 384 392	-524243341878
SPT(16)	1074966947843910061	0 10 58 72 96 106 150 160 198 208 252 262 286 300 348 358	-359042282506
STPT(10)	1074967061953941347	0 2 42 44 72 74 102 104 144 146	-244932251220
STPT(10)	1074967180347757679	0 2 12 14 90 92 168 170 180 182	-126538434888
STPT(10)	1074967339125799967	0 2 12 14 42 44 72 74 84 86	32239607400
SPT(16)	1074967788964103963	0 54 56 84 108 140 158 180 194 216 234 266 290 318 320 374	482077911396
SPT(16)	1074968193522660947	0 6 12 26 30 42 56 96 116 156 170 182 186 200 206 212	886636468380
SPT(16)	1074968818762377641	0 12 68 78 92 152 168 186 212 230 246 306 320 330 386 398	1511876185074
SPT(16)	1074969029743689823	0 28 58 78 88 114 124 144 190 210 220 246 256 276 306 334	1722857497256