Prime p₀= 5815459399691561 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 154 2 22 2 16 2 28 2 10 2 (?)
a_n: 0 2 156 158 180 182 198 200 228 230 240 242
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: 242
Found by: Egon olsen
db: batch=62, k=12, 154 22 16 28 10

SPT(14)	5815409298172693	0 4 6 18 36 60 66 88 94 118 136 148 150 154	-50101518868
STPT(10)	5815427135944631	0 2 6 8 18 20 30 32 36 38	-32263746930
SPT(14)	5815432358983981	0 6 28 108 136 142 210 268 336 342 370 450 472 478	-27040707580
SPT(14)	5815435016594713	0 6 16 46 70 76 118 138 180 186 210 240 250 256	-24383096848
TPT(12)	5815438524948497	0 2 30 32 54 56 90 92 132 134 144 146	-20874743064
SPT(14)	5815447355101367	0 26 32 74 102 126 140 216 230 254 282 324 330 356	-12044590194
SPT(14)	5815465288200679	0 30 90 94 100 118 124 144 150 168 174 178 238 268	5888509118
SPT(14)	5815467357196129	0 22 28 150 168 178 190 210 222 232 250 372 378 400	7957504568
SPT(16)	5815472090961079	0 18 28 52 72 78 108 150 232 274 304 310 330 354 364 382	12691269518
SPT(14)	5815478364273289	0 28 48 52 54 148 174 238 264 358 360 364 384 412	18964581728
SPT(14)	5815480547391673	0 6 30 64 100 120 148 306 334 354 390 424 448 454	21147700112