Prime p₀= 2874702203597758361 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 28 2 88 2 28 2 46 2 (?)
a_n: 0 2 48 50 78 80 168 170 198 200 246 248
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: 248
Found by: suriv
db: batch=82, k=12, 2 46 2 28 2 88

SPT(16)	2874700802663274227	0 24 54 74 96 144 194 206 210 222 272 320 342 362 392 416	-1400934484134
STPT(10)	2874700813662855449	0 2 18 20 30 32 42 44 60 62	-1389934902912
SPT(18)	2874700821229373189	0 42 104 114 132 140 152 198 210 242 254 300 312 320 338 348 410 452	-1382368385172
STPT(10)	2874700992001720199	0 2 48 50 90 92 132 134 180 182	-1211596038162
SPT(16)	2874701009386814141	0 50 56 62 86 98 122 132 206 216 240 252 276 282 288 338	-1194210944220
SPT(16)	2874701826067970531	0 2 8 36 86 92 132 140 168 176 216 222 272 300 306 308	-377529787830
SPT(16)	2874702251440418381	0 8 12 42 48 78 80 92 126 138 140 170 176 206 210 218	47842660020
SPT(16)	2874702560601913577	0 42 56 126 132 152 162 182 210 230 240 260 266 336 350 392	357004155216
STPT(10)	2874702614985860831	0 2 96 98 168 170 240 242 336 338	411388102470
SPT(16)	2874702655056494083	0 30 34 48 90 108 118 178 180 240 250 268 310 324 328 358	451458735722
SPT(16)	2874702828566312789	0 14 42 44 114 152 174 180 212 218 240 278 348 350 378 392	624968554428