Prime p₀= 2245686956259432779 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2245685447868100453	0 36 70 78 94 120 124 130 144 150 154 180 196 204 238 274	-1508391332326
SPT(16)	2245685528658587531	0 26 36 38 66 80 92 102 116 126 138 152 180 182 192 218	-1427600845248
STPT(10)	2245686183226822541	0 2 6 8 18 20 30 32 36 38	-773032610238
SPT(16)	2245686328403700563	0 8 78 84 134 138 150 164 234 248 260 264 314 320 390 398	-627855732216
STPT(10)	2245686701079251369	0 2 18 20 60 62 102 104 120 122	-255180181410
SPT(16)	2245686906810130307	0 14 44 86 140 150 156 164 186 194 200 210 264 306 336 350	-49449302472
SPT(16)	2245687169390220161	0 8 62 110 138 162 168 170 180 182 188 212 240 288 342 350	213130787382
STPT(10)	2245687263629102141	0 2 36 38 78 80 120 122 156 158	307369669362
STPT(10)	2245687506069552827	0 2 42 44 102 104 162 164 204 206	549810120048
TPT(14)	2245687599384238577	0 2 12 14 72 74 204 206 234 236 240 242 294 296	643124805798
SPT(16)	2245687740419515723	0 4 28 58 66 90 100 144 160 204 214 238 246 276 300 304	784160082944