Prime p₀= 1041357332314543301 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: [SG-2W]Kurzer
db: batch=76, k=10, 2 34 2 40 2

TPT(14)	1041356237477054801	0 2 78 80 126 128 150 152 156 158 198 200 210 212	-1094837488500
SPT(16)	1041356310433107859	0 72 82 120 130 142 154 172 180 198 210 222 232 270 280 352	-1021881435442
SPT(16)	1041356406284287369	0 28 52 58 90 118 132 138 154 160 174 202 234 240 264 292	-926030255932
SPT(16)	1041356459886979703	0 24 36 104 126 176 206 216 218 228 258 308 330 398 410 434	-872427563598
SPT(16)	1041357137918653429	0 24 34 42 52 90 172 174 178 180 262 300 310 318 328 352	-194395889872
SPT(16)	1041357180950855617	0 10 24 30 90 102 120 142 162 184 202 214 274 280 294 304	-151363687684
STPT(10)	1041357367759339451	0 2 6 8 18 20 30 32 36 38	35444796150
SPT(16)	1041357761904951047	0 20 42 60 86 96 102 110 162 170 176 186 212 230 252 272	429590407746
TPT(14)	1041357832557933677	0 2 42 44 120 122 132 134 174 176 210 212 252 254	500243390376
SPT(16)	1041357858702620629	0 10 22 30 52 84 210 234 238 262 388 420 442 450 462 472	526388077328
SPT(16)	1041358098504180287	0 20 24 84 96 110 152 174 182 204 246 260 272 332 336 356	766189636986