Prime p₀= 2066760238858708577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Cruncher Pete
db: batch=80, k=10, 2 28 2 28 2

SPT(16)	2066758789247944399	0 24 40 112 114 130 142 154 168 180 192 208 210 282 298 322	-1449610764178
SPT(16)	2066759317177790639	0 32 68 74 92 162 174 180 182 188 200 270 288 294 330 362	-921680917938
STPT(10)	2066759376439867997	0 2 24 26 42 44 60 62 84 86	-862418840580
TPT(14)	2066759382971655257	0 2 30 32 54 56 132 134 222 224 240 242 294 296	-855887053320
SPT(16)	2066759389701086459	0 78 140 144 158 200 210 224 324 338 348 390 404 408 470 548	-849157622118
SPT(18)	2066759472607015337	0 12 20 26 50 62 72 126 132 134 140 194 204 216 240 246 254 266	-766251693240
SPT(16)	2066760382326193789	0 60 82 102 112 114 132 184 198 250 268 270 280 300 322 382	143467485212
SPT(16)	2066760457375938949	0 22 30 34 72 78 84 100 132 148 154 160 198 202 210 232	218517230372
STPT(10)	2066760821512511879	0 2 18 20 30 32 42 44 60 62	582653803302
STPT(10)	2066760934749098849	0 2 48 50 60 62 72 74 120 122	695890390272
STPT(10)	2066761624623918161	0 2 30 32 60 62 90 92 120 122	1385765209584