Prime p₀= 2111990167504243841 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 10 2 10 2 124 2 (?)
a_n: 0 2 126 128 138 140 150 152 276 278
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: 278
Found by: Landjunge
db: batch=80, k=10, 2 124 2 10 2

SPT(16)	2111988996465468013	0 34 54 84 106 126 166 208 216 258 298 318 340 370 390 424	-1171038775828
TPT(14)	2111989020286908797	0 2 12 14 60 62 72 74 102 104 114 116 144 146	-1147217335044
STPT(10)	2111989619668938419	0 2 12 14 90 92 168 170 180 182	-547835305422
STPT(10)	2111989621605145937	0 2 30 32 72 74 114 116 144 146	-545899097904
SPT(16)	2111989974708230873	0 86 98 120 128 144 168 224 240 296 320 336 344 366 378 464	-192796012968
STPT(10)	2111990132592251297	0 2 12 14 42 44 72 74 84 86	-34911992544
SPT(16)	2111990411032576153	0 4 18 24 28 46 60 126 178 244 258 276 280 286 300 304	243528332312
SPT(16)	2111990759497686163	0 46 54 70 150 160 178 238 276 336 354 364 444 460 468 514	591993442322
TPT(14)	2111991127766170757	0 2 42 44 54 56 120 122 150 152 162 164 192 194	960261926916
STPT(10)	2111991891405643781	0 2 30 32 120 122 210 212 240 242	1723901399940
STPT(10)	2111991998192087909	0 2 18 20 60 62 102 104 120 122	1830687844068