Prime p₀= 2377783811357915027 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: [AF>Le_Pommier] Jerome_C2005
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2377782332979572317	0 10 30 36 54 94 106 156 190 240 252 292 310 316 336 346	-1478378342710
STPT(10)	2377782541254129167	0 2 54 56 72 74 90 92 144 146	-1270103785860
SPT(16)	2377782934897002947	0 26 32 42 74 86 144 146 150 152 210 222 254 264 270 296	-876460912080
TPT(14)	2377783179934352009	0 2 72 74 120 122 162 164 282 284 318 320 330 332	-631423563018
STPT(10)	2377783588982028737	0 2 42 44 72 74 102 104 144 146	-222375886290
SPT(16)	2377783595081172079	0 40 72 124 142 184 198 204 208 214 228 270 288 340 372 412	-216276742948
STPT(10)	2377784037165759107	0 2 30 32 42 44 54 56 84 86	225807844080
SPT(16)	2377784073201660899	0 2 14 42 62 90 168 174 188 194 272 300 320 348 360 362	261843745872
SPT(16)	2377784149505999387	0 26 30 110 140 170 186 192 200 206 222 252 282 362 366 392	338148084360
STPT(10)	2377784185206982289	0 2 48 50 90 92 132 134 180 182	373849067262
STPT(10)	2377784298532624097	0 2 30 32 42 44 54 56 84 86	487174709070