Prime p₀= 2703574024784214317 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 52 2 64 2 52 2 28 2 (?)
a_n: 0 2 30 32 84 86 150 152 204 206 234 236
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: 236
Found by: arkiss
db: batch=82, k=12, 2 28 2 52 2 64

SPT(16)	2703572295881270113	0 34 48 58 76 150 156 210 334 388 394 468 486 496 510 544	-1728902944204
STPT(10)	2703572617612262507	0 2 42 44 72 74 102 104 144 146	-1407171951810
STPT(10)	2703572744927602517	0 2 12 14 72 74 132 134 144 146	-1279856611800
STPT(10)	2703573141808996811	0 2 6 8 48 50 90 92 96 98	-882975217506
SPT(16)	2703573166974869639	0 8 14 20 72 90 92 140 192 240 242 260 312 318 324 332	-857809344678
SPT(16)	2703573942728668927	0 10 40 54 84 112 114 142 192 220 222 250 280 294 324 334	-82055545390
SPT(16)	2703574228654143349	0 42 60 88 114 124 148 162 190 204 228 238 264 292 310 352	203869929032
SPT(16)	2703575542326728249	0 78 98 104 110 120 144 180 188 224 248 258 264 270 290 368	1517542513932
STPT(10)	2703575601970664039	0 2 12 14 90 92 168 170 180 182	1577186449722
SPT(16)	2703575977386684973	0 24 30 40 124 136 156 196 198 238 258 270 354 364 370 394	1952602470656
TPT(14)	2703576200057614169	0 2 12 14 72 74 78 80 138 140 168 170 222 224	2175273399852