Prime p₀= 2353740038663364077 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: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2353738614308739899	0 2 48 50 90 92 132 134 180 182	-1424354624178
TPT(14)	2353738875031818707	0 2 24 26 114 116 180 182 222 224 252 254 294 296	-1163631545370
SPT(16)	2353738983622732163	0 6 8 90 98 168 170 240 266 336 338 408 416 498 500 506	-1055040631914
STPT(10)	2353739256174039791	0 2 36 38 78 80 120 122 156 158	-782489324286
TPT(14)	2353739714430553367	0 2 174 176 204 206 240 242 312 314 372 374 384 386	-324232810710
SPT(16)	2353739816593591499	0 30 42 72 80 98 168 182 198 212 282 300 308 338 350 380	-222069772578
SPT(16)	2353740043366644817	0 10 30 34 36 52 54 84 232 262 264 280 282 286 306 316	4703280740
SPT(16)	2353740356553549043	0 10 34 36 40 64 78 126 148 196 210 234 238 240 264 274	317890184966
SPT(16)	2353740356944397539	0 70 84 138 144 150 154 172 180 198 202 208 214 268 282 352	318281033462
STPT(10)	2353740427480151777	0 2 12 14 42 44 72 74 84 86	388816787700
TPT(14)	2353740438821082671	0 2 6 8 90 92 126 128 150 152 336 338 348 350	400157718594