Prime p₀= 741301493293942907 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 40 2 28 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 102 104 144 146 174 176
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: 176
Found by: Theadalus
db: batch=73, k=12, 2 28 2 40 2 28

SPT(16)	741300985591752451	0 10 12 40 60 76 126 136 162 172 222 238 258 286 288 298	-507702190456
SPT(13)	741301010008226779	0 12 18 30 60 150 210 270 360 390 402 408 420	-483285716128
SPT(16)	741301068221714321	0 48 72 80 98 122 138 180 200 242 258 282 300 308 332 380	-425072228586
SPT(16)	741301167358776421	0 12 22 52 60 70 78 126 172 220 228 238 246 276 286 298	-325935166486
SPT(16)	741301255015854601	0 12 46 52 102 132 178 186 202 210 256 286 336 342 376 388	-238278088306
STPT(10)	741301465163984339	0 2 18 20 30 32 42 44 60 62	-28129958568
STPT(10)	741301543732602371	0 2 30 32 78 80 126 128 156 158	50438659464
TPT(14)	741301732324468421	0 2 30 32 36 38 108 110 138 140 168 170 210 212	239030525514
SPT(16)	741302089677647741	0 12 38 42 48 62 66 78 110 122 126 140 146 150 176 188	596383704834
SPT(16)	741302094554102173	0 24 54 58 78 124 144 156 178 190 210 256 276 280 310 334	601260159266
TPT(14)	741302301244053539	0 2 42 44 72 74 132 134 282 284 312 314 342 344	807950110632