Prime p₀= 2378242411018125917 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 16 2 148 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 192 194 210 212 234 236
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: 236
Found by: ChUcK
db: batch=81, k=12, 2 22 2 16 2 148

SPT(16)	2378240446996165793	0 140 174 188 210 240 254 264 314 324 338 368 390 404 438 578	-1964021960124
STPT(10)	2378240662767095639	0 2 42 44 60 62 78 80 120 122	-1748251030278
SPT(16)	2378241223661990623	0 4 76 114 124 144 156 210 214 268 280 300 310 348 420 424	-1187356135294
SPT(16)	2378241580824887009	0 30 72 114 144 198 212 218 234 240 254 308 338 380 422 452	-830193238908
SPT(16)	2378242237789676459	0 12 42 50 78 84 104 110 132 138 158 164 192 200 230 242	-173228449458
STPT(10)	2378242365302520947	0 2 24 26 42 44 60 62 84 86	-45715604970
SPT(18)	2378242582418874653	0 6 14 20 44 56 74 84 126 128 170 180 198 210 234 240 248 254	171400748736
STPT(10)	2378242619198079419	0 2 42 44 60 62 78 80 120 122	208179953502
SPT(16)	2378243318773871299	0 4 48 70 102 108 142 168 244 270 304 310 342 364 408 412	907755745382
TPT(14)	2378243492694859211	0 2 6 8 48 50 78 80 90 92 156 158 186 188	1081676733294
SPT(16)	2378244068545243271	0 2 8 48 66 80 86 116 132 162 168 182 200 240 246 248	1657527117354