Prime p₀= 2700836002543311359 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 58 2 34 2 58 2 40 2 (?)
a_n: 0 2 42 44 102 104 138 140 198 200 240 242
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: 242
Found by: biodoc
db: batch=82, k=12, 2 40 2 58 2 34

STPT(10)	2700835575097265729	0 2 12 14 30 32 48 50 60 62	-427446045630
STPT(10)	2700835603778619407	0 2 60 62 72 74 84 86 144 146	-398764691952
SPT(16)	2700835811472869729	0 18 32 74 92 98 114 152 270 308 324 330 348 390 404 422	-191070441630
SPT(16)	2700835841130934891	0 18 30 40 42 72 112 118 150 156 196 226 228 238 250 268	-161412376468
TPT(14)	2700835876284243671	0 2 30 32 78 80 138 140 180 182 330 332 486 488	-126259067688
STPT(10)	2700835975550879531	0 2 96 98 138 140 180 182 276 278	-26992431828
STPT(10)	2700836163712190261	0 2 6 8 18 20 30 32 36 38	161168878902
SPT(16)	2700836793227147009	0 14 44 50 84 122 140 164 198 222 240 278 312 318 348 362	790683835650
SPT(16)	2700837419018147251	0 40 72 78 112 148 162 166 222 226 240 276 310 316 348 388	1416474835892
TPT(14)	2700837542710616831	0 2 90 92 96 98 168 170 186 188 210 212 228 230	1540167305472
STPT(10)	2700837576322833557	0 2 30 32 42 44 54 56 84 86	1573779522198