Prime p₀= 2261238916231929119 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Orange Kid
db: batch=81, k=10, 2 46 2 40 2

SPT(16)	2261236803309791171	0 8 20 50 72 86 98 132 176 210 222 236 258 288 300 308	-2112922137948
STPT(10)	2261238124285289717	0 2 12 14 42 44 72 74 84 86	-791946639402
SPT(16)	2261238172221223523	0 18 26 56 84 104 110 116 138 144 150 170 198 228 236 254	-744010705596
SPT(16)	2261238341066035013	0 48 134 140 170 174 198 210 224 236 260 264 294 300 386 434	-575165894106
SPT(16)	2261238412468280677	0 34 40 42 60 76 82 124 132 174 180 196 214 216 222 256	-503763648442
SPT(16)	2261238500194089967	0 66 70 84 96 130 162 204 262 304 336 370 382 396 400 466	-416037839152
STPT(10)	2261238955898228519	0 2 12 14 90 92 168 170 180 182	39666299400
SPT(16)	2261239395499212781	0 22 28 48 52 60 72 156 232 316 328 336 340 360 366 388	479267283662
TPT(14)	2261239599150759551	0 2 18 20 30 32 120 122 156 158 186 188 210 212	682918830432
SPT(16)	2261239629082000213	0 28 34 76 100 126 150 154 180 184 208 234 258 300 306 334	712850071094
SPT(16)	2261239629860940163	0 24 40 84 94 100 178 184 204 210 288 294 304 348 364 388	713629011044