Prime p₀= 800444658675199607 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: Paul
db: batch=73, k=10, 2 22 2 16 2

STPT(10)	800443457983140029	0 2 42 44 60 62 78 80 120 122	-1200692059578
STPT(10)	800443827047092409	0 2 18 20 30 32 42 44 60 62	-831628107198
STPT(10)	800444311098782759	0 2 48 50 90 92 132 134 180 182	-347576416848
SPT(16)	800444482842673579	0 52 82 88 108 120 130 144 148 162 172 184 204 210 240 292	-175832526028
SPT(16)	800444509931305807	0 22 36 46 64 66 84 112 144 172 190 192 210 220 234 256	-148743893800
SPT(16)	800444554447626113	0 44 78 90 110 120 138 146 168 176 194 204 224 236 270 314	-104227573494
STPT(10)	800444749942438199	0 2 18 20 30 32 42 44 60 62	91267238592
STPT(10)	800444770201855949	0 2 18 20 30 32 42 44 60 62	111526656342
SPT(16)	800444924352025969	0 4 22 42 84 102 150 162 220 232 280 298 340 360 378 382	265676826362
STPT(10)	800444953677771341	0 2 30 32 60 62 90 92 120 122	295002571734
SPT(16)	800445365422385983	0 54 70 76 94 114 130 136 174 180 196 216 234 240 256 310	706747186376