Prime p₀= 2378123918096338637 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 28 2 10 2

TPT(14)	2378122144533538757	0 2 30 32 54 56 72 74 90 92 132 134 144 146	-1773562799880
STPT(10)	2378122424541217139	0 2 42 44 60 62 78 80 120 122	-1493555121498
SPT(16)	2378122617075725183	0 48 56 74 98 104 114 138 146 170 180 186 210 228 236 284	-1301020613454
SPT(16)	2378122951673596339	0 34 70 88 114 120 130 190 198 258 268 274 300 318 354 388	-966422742298
TPT(14)	2378123313557736761	0 2 126 128 156 158 210 212 258 260 288 290 366 368	-604538601876
SPT(16)	2378123353184856047	0 30 36 50 116 170 200 222 284 306 336 390 456 470 476 506	-564911482590
SPT(16)	2378123926782122867	0 20 24 32 54 62 110 122 162 174 222 230 252 260 264 284	8685784230
STPT(10)	2378123988423241307	0 2 12 14 72 74 132 134 144 146	70326902670
SPT(16)	2378123990032625053	0 30 60 70 88 130 148 150 154 156 174 216 234 244 274 304	71936286416
STPT(10)	2378124324241616009	0 2 42 44 90 92 138 140 180 182	406145277372
SPT(16)	2378124450289347511	0 6 36 126 138 180 190 208 240 258 268 310 322 412 442 448	532193008874