Prime p₀= 3086339011956643127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG-2W]Kurzer
db: batch=83, k=10, 2 22 2 16 2

SPT(16)	3086337660620144717	0 36 44 50 56 86 96 146 204 254 264 294 300 306 314 350	-1351336498410
SPT(16)	3086337783867187261	0 18 40 52 58 60 70 126 142 198 208 210 216 228 250 268	-1228089455866
SPT(16)	3086338276086548909	0 2 18 60 84 110 164 182 240 258 312 338 362 404 420 422	-735870094218
TPT(14)	3086338666107226421	0 2 48 50 66 68 78 80 138 140 216 218 300 302	-345849416706
TPT(14)	3086338681024227311	0 2 60 62 90 92 168 170 210 212 258 260 306 308	-330932415816
SPT(18)	3086338791336213151	0 18 36 58 82 112 190 238 268 270 300 348 426 456 480 502 520 538	-220620429976
STPT(10)	3086339218014238049	0 2 48 50 90 92 132 134 180 182	206057594922
STPT(10)	3086339445018483947	0 2 42 44 72 74 102 104 144 146	433061840820
STPT(10)	3086339557081138901	0 2 6 8 48 50 90 92 96 98	545124495774
SPT(16)	3086339810827793419	0 58 138 148 168 208 232 258 274 300 324 364 384 394 474 532	798871150292
STPT(10)	3086339824395349661	0 2 126 128 138 140 150 152 276 278	812438706534