Prime p₀= 2735978889171837971 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 4 2 22 2 124 2 22 2 4 2 (?)
a_n: 0 2 6 8 30 32 156 158 180 182 186 188
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: 188
Found by: JayPi
db: batch=82, k=12, 2 4 2 22 2 124

SPT(16)	2735976824875688677	0 52 54 100 106 112 132 156 160 184 204 210 216 262 264 316	-2064296149294
STPT(10)	2735977181602832819	0 2 42 44 120 122 198 200 240 242	-1707569005152
SPT(16)	2735977842240945661	0 30 36 78 90 106 172 190 198 216 282 298 310 352 358 388	-1046930892310
SPT(16)	2735977965535324579	0 4 24 42 108 114 130 132 220 222 238 244 310 328 348 352	-923636513392
STPT(10)	2735978456558665697	0 2 30 32 42 44 54 56 84 86	-432613172274
SPT(16)	2735978703128875409	0 44 60 74 84 102 144 150 182 188 230 248 258 272 288 332	-186042962562
STPT(10)	2735979272977088387	0 2 12 14 42 44 72 74 84 86	383805250416
SPT(16)	2735979352989199169	0 14 48 72 110 114 152 210 242 300 338 342 380 404 438 452	463817361198
SPT(16)	2735979984951752897	0 2 24 44 50 122 140 194 210 264 282 354 360 380 402 404	1095779914926
STPT(10)	2735980006494682427	0 2 30 32 42 44 54 56 84 86	1117322844456
SPT(16)	2735980160767380239	0 38 42 102 138 140 164 182 240 258 282 284 320 380 384 422	1271595542268