Prime p₀= 2113446187416416777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2113444180459221791	0 18 20 30 42 60 98 150 188 240 278 296 308 318 320 338	-2006957194986
SPT(16)	2113445036790540223	0 58 70 96 130 166 180 184 210 214 228 264 298 324 336 394	-1150625876554
SPT(16)	2113445273410404569	0 32 38 72 74 164 182 198 224 240 258 348 350 384 390 422	-914006012208
SPT(16)	2113445758833565309	0 48 58 82 90 130 160 174 178 192 222 262 270 294 304 352	-428582851468
TPT(14)	2113445867550423797	0 2 72 74 84 86 150 152 312 314 354 356 360 362	-319865992980
SPT(16)	2113446173546218897	0 12 22 36 52 96 126 156 190 220 250 294 310 324 334 346	-13870197880
STPT(10)	2113446380441365349	0 2 78 80 120 122 162 164 240 242	193024948572
SPT(16)	2113446605245562759	0 8 14 30 68 74 90 98 174 182 198 204 242 258 264 272	417829145982
STPT(10)	2113446888010199057	0 2 30 32 42 44 54 56 84 86	700593782280
STPT(10)	2113446975356571521	0 2 6 8 18 20 30 32 36 38	787940154744
SPT(16)	2113447555989870253	0 4 6 24 48 70 108 118 126 136 174 196 220 238 240 244	1368573453476