Prime p₀= 4661817410376112121 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 52 2 64 2 52 2 34 2 (?)
a_n: 0 2 36 38 90 92 156 158 210 212 246 248
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 248
Found by: [SG] Felix
db: batch=85, k=12, 2 34 2 52 2 64

SPT(16)	4661816149505895157	0 22 24 40 42 52 84 162 172 250 282 292 294 310 312 334	-1260870216964
SPT(16)	4661816464106672777	0 14 62 90 92 114 134 162 194 222 242 264 266 294 342 356	-946269439344
SPT(16)	4661816481758313103	0 10 18 24 48 66 70 76 78 84 88 106 130 136 144 154	-928617799018
STPT(10)	4661816493296639177	0 2 54 56 72 74 90 92 144 146	-917079472944
SPT(16)	4661816658244038851	0 20 50 60 78 138 158 180 188 210 230 290 308 318 348 368	-752132073270
SPT(16)	4661817273514368083	0 6 30 54 56 98 116 138 146 168 186 228 230 254 278 284	-136861744038
SPT(16)	4661817749494786193	0 48 68 74 98 104 108 110 174 176 180 186 210 216 236 284	339118674072
STPT(10)	4661817810123770477	0 2 24 26 42 44 60 62 84 86	399747658356
STPT(10)	4661817846933258371	0 2 6 8 48 50 90 92 96 98	436557146250
STPT(10)	4661818760005630799	0 2 78 80 120 122 162 164 240 242	1349629518678
STPT(10)	4661818991300981309	0 2 48 50 60 62 72 74 120 122	1580924869188