Prime p₀= 4044885286838635817 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: [AF] Kalianthys
db: batch=84, k=10, 2 28 2 10 2

SPT(16)	4044884397446967343	0 16 40 58 78 100 106 126 148 168 174 196 216 234 258 274	-889391668474
TPT(14)	4044884401970194751	0 2 36 38 66 68 138 140 180 182 336 338 348 350	-884868441066
SPT(16)	4044884825309463623	0 8 24 26 38 66 134 146 168 180 248 276 288 290 306 314	-461529172194
STPT(10)	4044884875107331769	0 2 48 50 90 92 132 134 180 182	-411731304048
SPT(16)	4044884998462067537	0 24 26 72 86 110 164 170 276 282 336 360 374 420 422 446	-288376568280
SPT(16)	4044885051894593407	0 4 22 36 42 54 90 100 186 196 232 244 250 264 282 286	-234944042410
SPT(16)	4044885412015072367	0 30 32 56 74 86 114 144 152 182 210 222 240 264 266 296	125176436550
SPT(16)	4044885522915915581	0 8 30 68 98 158 212 242 246 276 330 390 420 458 480 488	236077279764
STPT(10)	4044886128108944099	0 2 18 20 60 62 102 104 120 122	841270308282
SPT(16)	4044886994875931563	0 34 46 58 64 90 120 130 144 154 184 210 216 228 240 274	1708037295746
STPT(10)	4044887040421245047	0 2 30 32 42 44 54 56 84 86	1753582609230