Prime p₀= 2222590200786293249 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 10 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 72 74 90 92 132 134
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: 134
Found by: Orange Kid
db: batch=81, k=12, 2 40 2 16 2 10

STPT(12)	2222587958712509537	0 2 84 86 90 92 114 116 120 122 204 206	-2242073783712
SPT(16)	2222588173394145301	0 10 12 78 106 120 132 148 180 196 208 222 250 316 318 328	-2027392147948
SPT(16)	2222588485760069993	0 24 38 126 156 164 200 210 254 264 300 308 338 426 440 464	-1715026223256
STPT(10)	2222588523778349717	0 2 42 44 72 74 102 104 144 146	-1677007943532
STPT(10)	2222589756699611249	0 2 18 20 30 32 42 44 60 62	-444086682000
TPT(14)	2222590106308869467	0 2 30 32 42 44 144 146 282 284 294 296 354 356	-94477423782
SPT(16)	2222590571690916853	0 40 88 114 130 174 210 240 268 298 334 378 394 420 468 508	370904623604
SPT(16)	2222591028476685091	0 30 46 58 66 70 142 148 150 156 228 232 240 252 268 298	827690391842
STPT(10)	2222591279273169377	0 2 24 26 42 44 60 62 84 86	1078486876128
SPT(16)	2222591313115192507	0 34 42 52 64 76 96 120 166 190 210 222 234 244 252 286	1112328899258
SPT(16)	2222591523398513081	0 2 12 42 50 78 80 96 152 168 170 198 206 236 246 248	1322612219832