Prime p₀= 2352309268343234021 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=81, k=10, 2 4 2 40 2

SPT(16)	2352308096932802093	0 26 38 56 98 126 180 186 200 206 260 288 330 348 360 386	-1171410431928
SPT(16)	2352308123198919007	0 40 66 72 84 90 114 184 192 262 286 292 304 310 336 376	-1145144315014
SPT(16)	2352308626527355123	0 4 40 60 70 88 108 118 180 190 210 228 238 258 294 298	-641815878898
STPT(10)	2352309018531240911	0 2 6 8 18 20 30 32 36 38	-249811993110
SPT(16)	2352309025216689863	0 20 78 80 114 128 158 168 206 216 246 260 294 296 354 374	-243126544158
STPT(10)	2352309200816700407	0 2 60 62 102 104 144 146 204 206	-67526533614
STPT(10)	2352309744211790639	0 2 12 14 90 92 168 170 180 182	475868556618
SPT(16)	2352310439370647671	0 6 10 16 40 70 82 136 156 210 222 252 276 282 286 292	1171027413650
STPT(10)	2352310589052919091	0 2 36 38 78 80 120 122 156 158	1320709685070
TPT(14)	2352310742073944999	0 2 18 20 198 200 222 224 240 242 252 254 282 284	1473730710978
SPT(16)	2352311343189443717	0 44 54 92 110 152 170 224 240 294 312 354 372 410 420 464	2074846209696