Prime p₀= 1013230464847380779 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: HenkM
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1013230032347852117	0 2 30 32 42 44 54 56 84 86	-432499528662
SPT(16)	1013230035760420939	0 4 52 84 102 114 154 172 180 198 238 250 268 300 348 352	-429086959840
STPT(12)	1013230270664559917	0 2 30 32 60 62 72 74 102 104 132 134	-194182820862
SPT(16)	1013230298879963239	0 18 34 64 82 84 132 144 148 160 208 210 228 258 274 292	-165967417540
SPT(16)	1013230342875544351	0 28 42 46 60 76 82 88 120 126 132 148 162 166 180 208	-121971836428
STPT(10)	1013230399817857589	0 2 18 20 30 32 42 44 60 62	-65029523190
SPT(16)	1013230547864974717	0 102 124 130 166 246 252 264 322 334 340 420 456 462 484 586	83017593938
STPT(10)	1013230735333307537	0 2 54 56 72 74 90 92 144 146	270485926758
STPT(10)	1013230814749048307	0 2 24 26 42 44 60 62 84 86	349901667528
SPT(13)	1013230826135844559	0 12 90 132 150 174 222 270 294 312 354 432 444	361288463780
SPT(16)	1013231233936381567	0 4 60 64 66 84 120 160 186 226 262 280 282 286 342 346	769089000788