Prime p₀= 2306695905656561987 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2306695340529527411	0 6 48 50 72 78 92 116 132 156 170 176 198 200 242 248	-565127034576
SPT(16)	2306695400744839301	0 66 200 218 278 330 338 348 350 360 368 420 480 498 632 698	-504911722686
SPT(16)	2306695425170421833	0 8 114 126 140 150 164 176 198 210 224 234 248 260 366 374	-480486140154
SPT(16)	2306695457816714131	0 16 18 30 40 46 88 90 178 180 222 228 238 250 252 268	-447839847856
SPT(16)	2306695663753827421	0 60 82 96 102 108 132 136 162 166 190 196 202 216 238 298	-241902734566
SPT(16)	2306695888876151537	0 6 36 84 140 156 182 204 212 234 260 276 332 380 410 416	-16780410450
SPT(16)	2306695952888705491	0 12 18 70 72 148 166 196 222 252 270 346 348 400 406 418	47232143504
TPT(14)	2306695959501530741	0 2 18 20 48 50 138 140 198 200 210 212 240 242	53844968754
STPT(10)	2306696121081459461	0 2 6 8 48 50 90 92 96 98	215424897474
STPT(10)	2306696259533933051	0 2 36 38 78 80 120 122 156 158	353877371064
STPT(10)	2306696370941432357	0 2 24 26 42 44 60 62 84 86	465284870370