Prime p₀= 3022273352845427501 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Roadranner
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	3022272265011120917	0 6 42 80 116 182 204 234 242 272 294 360 396 434 470 476	-1087834306584
SPT(16)	3022272334755765787	0 10 64 76 82 120 126 132 154 160 166 204 210 222 276 286	-1018089661714
SPT(16)	3022272707163264469	0 10 78 90 132 162 168 180 232 244 250 280 322 334 402 412	-645682163032
SPT(16)	3022272861076886213	0 14 20 44 54 60 96 114 140 158 194 200 210 234 240 254	-491768541288
SPT(16)	3022273009128545351	0 12 48 50 78 98 180 182 216 218 300 320 348 350 386 398	-343716882150
STPT(10)	3022273063792191029	0 2 18 20 30 32 42 44 60 62	-289053236472
TPT(14)	3022273361272781921	0 2 48 50 138 140 156 158 180 182 198 200 480 482	8427354420
STPT(10)	3022273594229000099	0 2 18 20 30 32 42 44 60 62	241383572598
STPT(10)	3022274235055771427	0 2 30 32 42 44 54 56 84 86	882210343926
STPT(10)	3022274471914334627	0 2 12 14 72 74 132 134 144 146	1119068907126
SPT(18)	3022274661058634081	0 48 50 90 188 198 248 312 338 372 398 462 512 522 620 660 662 710	1308213206580