Prime p₀= 1273537234196721407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: HenkM
db: batch=77, k=10, 2 88 2 40 2

TPT(14)	1273535821506261317	0 2 90 92 174 176 222 224 252 254 264 266 312 314	-1412690460090
STPT(10)	1273536270154107917	0 2 60 62 72 74 84 86 144 146	-964042613490
SPT(16)	1273536618970620083	0 6 14 36 50 60 66 80 84 98 104 114 128 150 158 164	-615226101324
STPT(10)	1273536857000009267	0 2 30 32 42 44 54 56 84 86	-377196712140
SPT(16)	1273536889955399963	0 24 26 36 38 84 116 126 158 168 200 246 248 258 260 284	-344241321444
SPT(16)	1273536910562569291	0 6 16 58 88 118 126 132 196 202 210 240 270 312 322 328	-323634152116
STPT(10)	1273537258121929859	0 2 42 44 60 62 78 80 120 122	23925208452
SPT(16)	1273537546803924497	0 6 32 54 104 116 140 144 182 186 210 222 272 294 320 326	312607203090
STPT(10)	1273537871131485917	0 2 12 14 42 44 72 74 84 86	636934764510
STPT(10)	1273538077267977341	0 2 6 8 18 20 30 32 36 38	843071255934
SPT(16)	1273538148829653269	0 2 54 62 72 80 84 90 104 110 114 122 132 140 192 194	914632931862