Prime p₀= 2291095992192741467 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2291094459416160989	0 2 42 44 90 92 138 140 180 182	-1532776580478
SPT(16)	2291094564233807993	0 14 56 66 96 104 114 156 248 290 300 308 338 348 390 404	-1427958933474
SPT(16)	2291094885247065913	0 28 88 100 108 144 148 166 168 186 190 226 234 246 306 334	-1106945675554
STPT(10)	2291095221111380441	0 2 6 8 18 20 30 32 36 38	-771081361026
SPT(16)	2291095364577283877	0 74 110 134 140 152 162 170 186 194 204 216 222 246 282 356	-627615457590
SPT(16)	2291095722640440907	0 22 36 52 64 90 100 112 114 126 136 162 174 190 204 226	-269552300560
STPT(10)	2291096794044395327	0 2 42 44 72 74 102 104 144 146	801851653860
STPT(10)	2291096847198818159	0 2 42 44 90 92 138 140 180 182	855006076692
STPT(10)	2291097414511710401	0 2 36 38 78 80 120 122 156 158	1422318968934
SPT(16)	2291097511637051093	0 30 78 174 176 186 210 224 300 314 338 348 350 446 494 524	1519444309626
TPT(14)	2291097971195304209	0 2 12 14 72 74 78 80 108 110 162 164 210 212	1979002562742