Prime p₀= 1268616479047444127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Megacruncher
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1268615583607906099	0 4 30 40 48 54 70 142 210 282 298 304 312 322 348 352	-895439538028
STPT(10)	1268615606224311647	0 2 30 32 42 44 54 56 84 86	-872823132480
STPT(10)	1268615651669909831	0 2 36 38 78 80 120 122 156 158	-827377534296
TPT(14)	1268615723169546989	0 2 18 20 30 32 72 74 108 110 150 152 228 230	-755877897138
TPT(16)	1268615855070297659	0 2 78 80 132 134 162 164 210 212 228 230 300 302 312 314	-623977146468
TPT(14)	1268616017682281159	0 2 12 14 78 80 90 92 108 110 132 134 168 170	-461365162968
SPT(16)	1268616770692924501	0 16 28 36 70 90 168 198 280 310 388 408 442 450 462 478	291645480374
SPT(16)	1268617100898840947	0 20 60 62 102 104 132 182 192 242 270 272 312 314 354 374	621851396820
SPT(16)	1268617239930974653	0 16 40 54 100 126 136 144 220 228 238 264 310 324 348 364	760883530526
SPT(16)	1268617360941565333	0 4 54 66 70 96 108 136 228 256 268 294 298 310 360 364	881894121206
SPT(16)	1268617605262555043	0 18 38 48 56 68 90 156 308 374 396 408 416 426 446 464	1126215110916