Prime p₀= 1467769889912134397 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: TheKillerChicken
db: batch=78, k=10, 2 28 2 10 2

SPT(16)	1467768354329291731	0 28 66 70 90 148 166 168 190 192 210 268 288 292 330 358	-1535582842666
SPT(16)	1467768550492341527	0 72 122 150 152 236 240 266 276 302 306 390 392 420 470 542	-1339419792870
SPT(16)	1467769044967674913	0 16 28 34 46 70 114 126 178 190 234 258 270 276 288 304	-844944459484
SPT(16)	1467769064429358749	0 62 132 168 182 210 224 242 270 288 302 330 344 380 450 512	-825482775648
STPT(10)	1467769109431604891	0 2 6 8 18 20 30 32 36 38	-780480529506
SPT(16)	1467769502783938951	0 6 18 28 36 42 72 78 100 106 136 142 150 160 172 178	-387128195446
SPT(16)	1467770093540726587	0 10 16 36 54 82 106 150 196 240 264 292 310 330 336 346	203628592190
STPT(10)	1467770310783420731	0 2 6 8 48 50 90 92 96 98	420871286334
SPT(16)	1467770408830797781	0 42 76 108 112 150 156 178 180 202 208 246 250 282 316 358	518918663384
STPT(10)	1467770444463386729	0 2 30 32 120 122 210 212 240 242	554551252332
STPT(10)	1467770463666388241	0 2 6 8 48 50 90 92 96 98	573754253844