Prime p₀= 2301765659267696927 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2301764013780689459	0 24 42 44 60 80 114 122 162 170 204 224 240 242 260 284	-1645487007468
SPT(16)	2301764231475431797	0 16 42 72 84 90 106 112 174 180 196 202 214 244 270 286	-1427792265130
SPT(16)	2301764315305556071	0 10 28 42 46 66 102 120 178 196 232 252 256 270 288 298	-1343962140856
SPT(16)	2301764620716124241	0 12 68 80 90 108 138 150 170 182 212 230 240 252 308 320	-1038551572686
STPT(10)	2301765177052766627	0 2 42 44 72 74 102 104 144 146	-482214930300
SPT(16)	2301765203821468817	0 32 90 92 104 122 200 234 242 276 354 372 384 386 444 476	-455446228110
TPT(14)	2301765863273167901	0 2 96 98 240 242 318 320 330 332 408 410 420 422	204005470974
SPT(16)	2301766017319454219	0 24 44 72 78 92 114 158 174 218 240 254 260 288 308 332	358051757292
STPT(10)	2301766558561809707	0 2 30 32 42 44 54 56 84 86	899294112780
STPT(10)	2301766604992274219	0 2 48 50 60 62 72 74 120 122	945724577292
SPT(16)	2301767260082043701	0 8 38 48 80 150 162 176 252 266 278 348 380 390 420 428	1600814346774