Prime p₀= 1213029019667350049 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: xii5ku
db: batch=77, k=10, 2 46 2 40 2

SPT(16)	1213026368378697347	0 2 12 54 72 80 102 104 360 362 384 392 410 452 462 464	-2651288652702
TPT(14)	1213026392234016329	0 2 30 32 60 62 72 74 90 92 168 170 258 260	-2627433333720
SPT(16)	1213026796474566413	0 14 48 110 114 186 194 216 278 300 308 380 384 446 480 494	-2223192783636
STPT(10)	1213027186859904539	0 2 12 14 30 32 48 50 60 62	-1832807445510
SPT(16)	1213027447735635223	0 24 30 60 70 84 126 136 174 184 226 240 250 280 286 310	-1571931714826
STPT(10)	1213028530431634121	0 2 6 8 18 20 30 32 36 38	-489235715928
SPT(16)	1213029535326042017	0 12 20 26 140 150 152 174 212 234 236 246 360 366 374 386	515658691968
STPT(10)	1213030053713692727	0 2 84 86 102 104 120 122 204 206	1034046342678
SPT(16)	1213030070222174023	0 4 40 46 88 94 96 130 144 178 180 186 228 234 270 274	1050554823974
SPT(16)	1213030419229506377	0 14 30 56 86 104 114 192 194 272 282 300 330 356 372 386	1399562156328
TPT(14)	1213030503904661357	0 2 24 26 60 62 114 116 144 146 192 194 222 224	1484237311308