Prime p₀= 2064716503445603081 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 40 2 34 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 96 98 138 140 156 158
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: 158
Found by: Landjunge
db: batch=80, k=12, 2 16 2 40 2 34

STPT(10)	2064713295930155831	0 2 36 38 78 80 120 122 156 158	-3207515447250
TPT(14)	2064714216090105029	0 2 48 50 60 62 102 104 132 134 288 290 312 314	-2287355498052
SPT(16)	2064714272248233811	0 66 106 108 118 160 178 192 196 210 228 270 280 282 322 388	-2231197369270
SPT(16)	2064714384711561211	0 6 28 40 46 76 118 142 156 180 222 252 258 270 292 298	-2118734041870
TPT(14)	2064714993953043011	0 2 126 128 156 158 306 308 360 362 378 380 390 392	-1509492560070
SPT(16)	2064716317568955991	0 10 28 30 40 78 150 178 210 238 310 348 358 360 378 388	-185876647090
STPT(10)	2064716647783476287	0 2 30 32 42 44 54 56 84 86	144337873206
SPT(16)	2064716678723962189	0 24 28 132 154 160 238 258 304 324 402 408 430 534 538 562	175278359108
STPT(10)	2064716797701985709	0 2 42 44 60 62 78 80 120 122	294256382628
STPT(10)	2064716980725217961	0 2 6 8 18 20 30 32 36 38	477279614880
SPT(16)	2064717165494998403	0 26 36 44 96 116 126 140 174 188 198 218 270 278 288 314	662049395322