Prime p₀= 2838471504740620751 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: Roadranner
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2838470753843613829	0 42 64 78 90 114 132 162 370 400 418 442 454 468 490 532	-750897006922
SPT(16)	2838470812078103009	0 2 38 84 108 114 140 150 152 162 188 194 218 264 300 302	-692662517742
STPT(10)	2838471035134933481	0 2 6 8 48 50 90 92 96 98	-469605687270
SPT(16)	2838471414109393963	0 94 96 130 136 160 246 250 300 304 390 414 420 454 456 550	-90631226788
STPT(10)	2838471465412530047	0 2 42 44 72 74 102 104 144 146	-39328090704
SPT(16)	2838471498762829453	0 18 28 34 124 138 160 166 258 264 286 300 390 396 406 424	-5977791298
SPT(16)	2838472103759385187	0 34 40 54 90 106 112 132 184 204 210 226 262 276 282 316	599018764436
STPT(10)	2838472424237654177	0 2 30 32 42 44 54 56 84 86	919497033426
SPT(16)	2838472603696302337	0 30 46 72 156 160 202 220 252 270 312 316 400 426 442 472	1098955681586
SPT(16)	2838472693139397683	0 26 36 48 78 98 120 150 176 206 228 248 278 290 300 326	1188398776932
STPT(10)	2838472819338014387	0 2 12 14 42 44 72 74 84 86	1314597393636