Prime p₀= 1069253200218456599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 136 2 136 2 10 2 (?)
a_n: 0 2 12 14 150 152 288 290 300 302
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: 302
Found by: ginga
db: batch=76, k=10, 2 10 2 136 2

SPT(16)	1069252079863975949	0 2 30 152 198 210 212 222 338 348 350 362 408 530 558 560	-1120354480650
STPT(10)	1069252756812762437	0 2 24 26 42 44 60 62 84 86	-443405694162
SPT(16)	1069252971989791571	0 12 50 86 110 126 146 152 156 162 182 198 222 258 296 308	-228228665028
TPT(14)	1069252976611202807	0 2 54 56 72 74 132 134 144 146 210 212 222 224	-223607253792
STPT(10)	1069252990527593549	0 2 18 20 30 32 42 44 60 62	-209690863050
STPT(10)	1069253062495083671	0 2 6 8 18 20 30 32 36 38	-137723372928
SPT(16)	1069253996070316487	0 2 74 92 126 144 146 162 194 210 212 230 264 282 354 356	795851859888
STPT(10)	1069254069869781659	0 2 42 44 90 92 138 140 180 182	869651325060
SPT(16)	1069254334184738519	0 20 38 68 182 188 192 210 212 230 234 240 354 384 402 422	1133966281920
SPT(16)	1069254386623426669	0 30 40 54 100 120 144 154 240 250 274 294 340 354 364 394	1186404970070
STPT(10)	1069254485865156671	0 2 90 92 150 152 210 212 300 302	1285646700072