Prime p₀= 1257912784411494257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: Megacruncher
db: batch=77, k=10, 2 10 2 58 2

SPT(16)	1257912024376884161	0 6 18 26 62 96 120 138 140 158 182 216 252 260 272 278	-760034610096
STPT(10)	1257912105329037017	0 2 30 32 72 74 114 116 144 146	-679082457240
TPT(14)	1257912244563626417	0 2 150 152 252 254 342 344 360 362 432 434 600 602	-539847867840
STPT(10)	1257912476956332017	0 2 60 62 72 74 84 86 144 146	-307455162240
SPT(16)	1257912605740605883	0 18 34 54 66 136 150 186 238 274 288 358 370 390 406 424	-178670888374
STPT(10)	1257912675800187917	0 2 42 44 72 74 102 104 144 146	-108611306340
TPT(14)	1257913051735988057	0 2 42 44 102 104 114 116 174 176 210 212 222 224	267324493800
STPT(10)	1257913407524708327	0 2 30 32 42 44 54 56 84 86	623113214070
SPT(18)	1257913529068700597	0 20 42 92 122 132 210 216 224 252 260 266 344 354 384 434 456 476	744657206340
SPT(16)	1257913703205338057	0 54 72 84 90 92 102 152 162 212 222 224 230 242 260 314	918793843800
STPT(10)	1257913735163385071	0 2 36 38 78 80 120 122 156 158	950751890814