Prime p₀= 1478259928177545347 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 40 2 16 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 90 92 132 134 162 164
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: bfromcolo
db: batch=78, k=12, 2 28 2 40 2 16

SPT(16)	1478259236030966033	0 8 14 78 80 128 140 176 228 264 276 324 326 390 396 404	-692146579314
STPT(10)	1478259485962332209	0 2 42 44 90 92 138 140 180 182	-442215213138
TPT(14)	1478259570206767487	0 2 72 74 150 152 234 236 294 296 390 392 402 404	-357970777860
STPT(10)	1478259648087653489	0 2 42 44 60 62 78 80 120 122	-280089891858
SPT(16)	1478259833611321693	0 4 28 30 64 70 100 106 108 114 144 150 184 186 210 214	-94566223654
STPT(10)	1478259845317671539	0 2 12 14 30 32 48 50 60 62	-82859873808
STPT(10)	1478260039161406307	0 2 42 44 72 74 102 104 144 146	110983860960
TPT(14)	1478260330956721997	0 2 12 14 60 62 102 104 180 182 192 194 240 242	402779176650
STPT(10)	1478260428651218897	0 2 24 26 42 44 60 62 84 86	500473673550
SPT(16)	1478260534045067951	0 50 78 96 122 126 128 206 252 330 332 336 362 380 408 458	605867522604
SPT(16)	1478260745055736379	0 30 38 72 132 150 182 320 360 498 530 548 608 642 650 680	816878191032