Prime p₀= 2992121379333494459 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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 40 2 16 2

STPT(10)	2992120187803265417	0 2 42 44 132 134 222 224 264 266	-1191530229042
SPT(16)	2992120520082662867	0 12 56 72 90 96 110 114 152 156 170 176 194 210 254 266	-859250831592
SPT(16)	2992120669931327819	0 8 78 108 128 132 188 230 240 282 338 342 362 392 462 470	-709402166640
STPT(10)	2992120732540653191	0 2 30 32 78 80 126 128 156 158	-646792841268
STPT(10)	2992121168799283061	0 2 30 32 78 80 126 128 156 158	-210534211398
SPT(16)	2992121290173015901	0 46 76 120 202 208 238 250 258 270 300 306 388 432 462 508	-89160478558
STPT(10)	2992121713336935227	0 2 42 44 72 74 102 104 144 146	334003440768
TPT(14)	2992121740536025127	0 2 42 44 114 116 120 122 132 134 162 164 174 176	361202530668
STPT(10)	2992121831268680879	0 2 18 20 30 32 42 44 60 62	451935186420
SPT(16)	2992121979503932897	0 4 24 96 102 156 222 304 312 394 460 514 520 592 612 616	600170438438
STPT(10)	2992122089492833049	0 2 18 20 30 32 42 44 60 62	710159338590