Prime p₀= 1273679293991335079 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: Theadalus
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1273678736178767183	0 6 14 18 20 30 44 96 158 210 224 234 236 240 248 254	-557812567896
STPT(10)	1273678942400359907	0 2 24 26 42 44 60 62 84 86	-351590975172
SPT(16)	1273678946072358949	0 22 60 120 148 154 162 168 244 250 258 264 292 352 390 412	-347918976130
SPT(16)	1273678973601714139	0 12 18 48 52 64 70 78 94 102 108 120 124 154 160 172	-320389620940
TPT(14)	1273679155020594137	0 2 30 32 90 92 114 116 180 182 294 296 342 344	-138970740942
TPT(14)	1273679162686946159	0 2 18 20 60 62 210 212 240 242 282 284 312 314	-131304388920
TPT(14)	1273679555622999911	0 2 78 80 126 128 138 140 150 152 180 182 198 200	261631664832
SPT(18)	1273679615353071973	0 78 118 124 144 154 246 250 270 274 294 298 390 400 420 426 466 544	321361736894
SPT(16)	1273680187935728009	0 20 78 104 120 138 140 150 152 162 164 182 198 224 282 302	893944392930
SPT(16)	1273680250843797649	0 24 30 40 42 72 112 124 270 282 322 352 354 364 370 394	956852462570
STPT(10)	1273680370034448977	0 2 30 32 42 44 54 56 84 86	1076043113898