Prime p₀= 1013194213443359999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: gemini8
db: batch=76, k=10, 2 16 2 10 2

STPT(12)	1013192486626800197	0 2 12 14 42 44 102 104 132 134 144 146	-1726816559802
SPT(16)	1013192768413383409	0 48 60 70 90 118 130 148 150 168 180 208 228 238 250 298	-1445029976590
STPT(10)	1013193113897502017	0 2 30 32 42 44 54 56 84 86	-1099545857982
STPT(10)	1013193130983923249	0 2 42 44 90 92 138 140 180 182	-1082459436750
STPT(10)	1013193597541358801	0 2 126 128 138 140 150 152 276 278	-615902001198
SPT(16)	1013193790224284479	0 10 12 42 48 54 82 100 192 210 238 244 250 280 282 292	-423219075520
SPT(16)	1013194836177204407	0 20 42 60 152 200 212 234 272 294 306 354 446 464 486 506	622733844408
SPT(16)	1013194853036547737	0 12 20 36 90 96 132 176 306 350 386 392 446 462 470 482	639593187738
STPT(10)	1013195520510579617	0 2 72 74 162 164 252 254 324 326	1307067219618
TPT(14)	1013195523748905311	0 2 6 8 36 38 48 50 78 80 150 152 216 218	1310305545312
TPT(14)	1013195596649308607	0 2 12 14 84 86 132 134 192 194 264 266 474 476	1383205948608