Prime p₀= 789796116674421287 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: schoussi
db: batch=73, k=10, 2 10 2 58 2

TPT(22)	789795449254776509	0 2 18 20 42 44 72 74 108 110 138 140 240 242 252 254 270 272 318 320 360 362	-667419644778
SPT(16)	789795481111789759	0 40 60 132 150 172 190 210 214 234 252 274 292 364 384 424	-635562631528
SPT(16)	789795505494760789	0 10 148 150 154 190 220 258 280 318 348 384 388 390 528 538	-611179660498
SPT(16)	789795815115698333	0 24 48 68 98 104 108 126 158 176 180 186 216 236 260 284	-301558722954
SPT(16)	789795889880550173	0 20 38 66 74 98 110 126 158 174 186 210 218 246 264 284	-226793871114
TPT(14)	789796079000804429	0 2 138 140 162 164 222 224 318 320 378 380 420 422	-37673616858
SPT(16)	789796135049198713	0 30 78 88 94 100 106 126 178 198 204 210 216 226 274 304	18374777426
SPT(16)	789796469754578947	0 22 90 112 114 126 150 156 160 166 190 202 204 226 294 316	353080157660
SPT(16)	789796517083356421	0 22 28 42 48 66 88 106 132 150 172 190 196 210 216 238	400408935134
SPT(16)	789796922142980341	0 22 42 108 150 168 192 196 252 256 280 298 340 406 426 448	805468559054
STPT(10)	789796948386286637	0 2 30 32 42 44 54 56 84 86	831711865350