Prime p₀= 837838995355698767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Ralfy
db: batch=73, k=10, 2 52 2 16 2

SPT(16)	837838254761693459	0 8 18 74 84 92 102 140 222 260 270 278 288 344 354 362	-740594005308
SPT(16)	837838660467421601	0 20 36 42 48 72 92 120 128 156 176 200 206 212 228 248	-334888277166
SPT(16)	837838798975754479	0 10 52 112 138 168 172 220 222 270 274 304 330 390 432 442	-196379944288
STPT(10)	837838801683373571	0 2 6 8 48 50 90 92 96 98	-193672325196
SPT(16)	837838887215985617	0 50 56 72 102 114 132 156 200 224 242 254 284 300 306 356	-108139713150
STPT(10)	837838915815359837	0 2 30 32 42 44 54 56 84 86	-79540338930
SPT(16)	837839104176900649	0 22 82 150 160 192 244 280 312 348 400 432 442 510 570 592	108821201882
STPT(10)	837839202819801731	0 2 6 8 48 50 90 92 96 98	207464102964
STPT(10)	837839565063671879	0 2 42 44 60 62 78 80 120 122	569707973112
SPT(16)	837839597310049639	0 4 18 78 84 112 118 132 160 174 180 208 214 274 288 292	601954350872
STPT(10)	837839693443106399	0 2 42 44 90 92 138 140 180 182	698087407632