Prime p₀= 1286577579976303799 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: Megacruncher
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1286576201222823061	0 28 40 52 66 82 132 160 168 196 246 262 276 288 300 328	-1378753480738
SPT(16)	1286576310868394011	0 16 46 72 90 118 130 156 202 228 240 268 286 312 342 358	-1269107909788
SPT(16)	1286576608330170719	0 30 44 74 80 128 182 258 284 360 414 462 468 498 512 542	-971646133080
SPT(16)	1286577173815814291	0 26 36 50 66 80 90 126 146 182 192 206 222 236 246 272	-406160489508
STPT(10)	1286577200380838489	0 2 12 14 30 32 48 50 60 62	-379595465310
SPT(16)	1286577287941905881	0 20 62 116 140 180 182 206 336 360 362 402 426 480 522 542	-292034397918
SPT(16)	1286577696963176053	0 46 144 148 156 178 294 304 330 340 456 478 486 490 588 634	116986872254
STPT(10)	1286577701410258487	0 2 24 26 42 44 60 62 84 86	121433954688
SPT(16)	1286577879586343153	0 14 36 96 116 120 134 140 144 150 164 168 188 248 270 284	299610039354
STPT(12)	1286578229301108449	0 2 60 62 102 104 168 170 210 212 270 272	649324804650
SPT(16)	1286578372596455999	0 8 14 54 74 92 102 128 144 170 180 198 218 258 264 272	792620152200