Prime p₀= 740255279474108477 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 40 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 102 104 132 134 162 164
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: 164
Found by: Theadalus
db: batch=73, k=12, 2 28 2 28 2 40

SPT(18)	740253942114643147	0 6 46 72 120 126 136 156 162 184 190 210 220 226 274 300 340 346	-1337359465330
SPT(16)	740254725951865219	0 18 28 58 72 120 154 214 228 288 322 370 384 414 424 442	-553522243258
SPT(16)	740254888976575727	0 14 56 84 86 122 126 144 152 170 174 210 212 240 282 296	-390497532750
TPT(14)	740254890917609279	0 2 18 20 240 242 258 260 312 314 378 380 420 422	-388556499198
SPT(16)	740255139376558789	0 12 34 40 78 84 88 100 102 114 118 124 162 168 190 202	-140097549688
STPT(10)	740255211018768647	0 2 42 44 72 74 102 104 144 146	-68455339830
SPT(16)	740255298812441809	0 40 52 112 130 150 220 222 262 264 334 354 372 432 444 484	19338333332
SPT(16)	740255677018525637	0 2 12 56 102 104 110 156 170 216 222 224 270 314 324 326	397544417160
SPT(16)	740256315812443897	0 22 36 54 82 90 124 186 190 252 286 294 322 340 354 376	1036338335420
SPT(16)	740256427050559583	0 48 110 126 140 218 236 248 306 318 336 414 428 444 506 554	1147576451106
STPT(10)	740256971673460247	0 2 30 32 42 44 54 56 84 86	1692199351770