Prime p₀= 2960941379901826247 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 40 2 4 2 40 2 40 2 (?)
a_n: 0 2 42 44 84 86 90 92 132 134 174 176
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: Landjunge
db: batch=82, k=12, 2 40 2 40 2 4

SPT(13)	2960940651485884799	0 18 30 42 78 102 120 138 162 198 210 222 240	-728415941448
STPT(10)	2960940884136804599	0 2 18 20 30 32 42 44 60 62	-495765021648
SPT(16)	2960940972162488611	0 30 52 88 136 142 150 160 228 238 246 252 300 336 358 388	-407739337636
TPT(14)	2960941088093944601	0 2 60 62 120 122 156 158 216 218 228 230 240 242	-291807881646
SPT(16)	2960941191034622539	0 90 132 154 162 190 210 240 274 304 324 352 360 382 424 514	-188867203708
TPT(14)	2960941252895185529	0 2 90 92 102 104 138 140 180 182 210 212 222 224	-127006640718
TPT(14)	2960941443938556137	0 2 12 14 90 92 132 134 180 182 234 236 252 254	64036729890
STPT(10)	2960941586788036307	0 2 30 32 42 44 54 56 84 86	206886210060
STPT(10)	2960942256716424521	0 2 30 32 78 80 126 128 156 158	876814598274
STPT(10)	2960942716165942601	0 2 30 32 60 62 90 92 120 122	1336264116354
SPT(16)	2960942985653462083	0 30 96 106 108 126 136 148 186 198 208 226 228 238 304 334	1605751635836