Prime p₀= 1176187535294233079 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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 46 2 10 2

SPT(16)	1176186661912672057	0 6 16 42 142 156 190 216 226 252 286 300 400 426 436 442	-873381561022
STPT(10)	1176186819797109011	0 2 90 92 108 110 126 128 216 218	-715497124068
SPT(16)	1176186822947724737	0 42 44 74 80 84 90 102 212 224 230 234 240 270 272 314	-712346508342
TPT(14)	1176186830863230839	0 2 30 32 42 44 90 92 102 104 162 164 210 212	-704431002240
STPT(10)	1176186959814071369	0 2 48 50 90 92 132 134 180 182	-575480161710
STPT(10)	1176187241002004219	0 2 18 20 30 32 42 44 60 62	-294292228860
SPT(16)	1176187713176759867	0 12 42 80 84 90 96 114 122 140 146 152 156 194 224 236	177882526788
STPT(10)	1176187717241624369	0 2 18 20 60 62 102 104 120 122	181947391290
SPT(16)	1176188003575059551	0 6 60 86 180 198 206 228 278 300 308 326 420 446 500 506	468280826472
STPT(12)	1176188428609319639	0 2 42 44 48 50 132 134 138 140 180 182	893315086560
SPT(16)	1176188533950689491	0 18 30 72 96 102 112 130 138 156 166 172 196 238 250 268	998656456412