Prime p₀= 2465350467186128237 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: JayPi
db: batch=82, k=12, 2 40 2 16 2 22

SPT(16)	2465349852786994871	0 26 36 80 180 188 218 228 308 318 348 356 456 500 510 536	-614399133366
SPT(16)	2465350012819137859	0 4 18 22 30 60 78 120 142 184 202 232 240 244 258 262	-454366990378
TPT(14)	2465350305401953397	0 2 114 116 150 152 204 206 234 236 264 266 372 374	-161784174840
STPT(10)	2465350408184453759	0 2 12 14 30 32 48 50 60 62	-59001674478
STPT(10)	2465350409650354769	0 2 12 14 90 92 168 170 180 182	-57535773468
TPT(16)	2465350459511564957	0 2 24 26 54 56 90 92 180 182 192 194 234 236 360 362	-7674563280
TPT(14)	2465350540954668509	0 2 42 44 48 50 72 74 102 104 162 164 240 242	73768540272
SPT(16)	2465350599983371357	0 36 54 76 102 144 154 186 280 312 322 364 390 412 430 466	132797243120
STPT(10)	2465350654942712519	0 2 48 50 90 92 132 134 180 182	187756584282
SPT(16)	2465350662459780673	0 6 18 34 88 114 120 130 144 154 160 186 240 256 268 274	195273652436
TPT(14)	2465350781819120411	0 2 60 62 126 128 138 140 186 188 240 242 270 272	314632992174