Prime p₀= 1212113723554874681 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: Megacruncher
db: batch=77, k=10, 2 28 2 46 2

SPT(16)	1212112345574551117	0 16 36 46 76 102 126 132 184 190 214 240 270 280 300 316	-1377980323564
SPT(16)	1212113042082022037	0 12 20 26 42 116 156 206 216 266 306 380 396 402 410 422	-681472852644
TPT(14)	1212113044357818017	0 2 84 86 132 134 204 206 240 242 282 284 354 356	-679197056664
SPT(16)	1212113054992563791	0 2 30 62 72 90 96 116 156 176 182 200 210 242 270 272	-668562310890
STPT(10)	1212113257645892429	0 2 18 20 60 62 102 104 120 122	-465908982252
SPT(16)	1212113359282953997	0 16 30 90 102 126 162 172 174 184 220 244 256 316 330 346	-364271920684
SPT(16)	1212114604502528579	0 2 12 20 42 98 110 114 338 342 354 410 432 440 450 452	880947653898
STPT(10)	1212114842177486591	0 2 36 38 78 80 120 122 156 158	1118622611910
STPT(10)	1212114870196043249	0 2 42 44 60 62 78 80 120 122	1146641168568
SPT(16)	1212114917542694899	0 28 34 42 100 112 118 184 198 264 270 282 340 348 354 382	1193987820218
SPT(20)	1212114938533468531	0 22 28 30 42 70 90 130 162 168 190 196 228 268 288 316 328 330 336 358	1214978593850