Prime p₀= 4062923407070256767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 40 2 46 2 28 2 100 2 (?)
a_n: 0 2 24 26 42 44 84 86 132 134 162 164 264 266
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 266
Found by: JZD
db: batch=84, k=14, 22 16 40 46 28 100

STPT(10)	4062922178756569949	0 2 18 20 30 32 42 44 60 62	-1228313686818
SPT(16)	4062922266275470699	0 12 24 28 48 52 78 82 150 154 180 184 204 208 220 232	-1140794786068
SPT(18)	4062922625501981713	0 10 28 54 58 108 120 138 168 190 220 238 250 300 304 330 348 358	-781568275054
SPT(16)	4062922666247273341	0 10 22 36 76 156 162 178 300 316 322 402 442 456 468 478	-740822983426
SPT(16)	4062923119215019133	0 6 26 48 86 140 144 156 158 170 174 228 266 288 308 314	-287855237634
SPT(16)	4062923237478637783	0 34 60 88 96 186 198 208 216 226 238 328 336 364 390 424	-169591618984
STPT(10)	4062923413681503191	0 2 6 8 18 20 30 32 36 38	6611246424
STPT(10)	4062923444244409991	0 2 36 38 78 80 120 122 156 158	37174153224
STPT(10)	4062923681953970807	0 2 30 32 42 44 54 56 84 86	274883714040
SPT(16)	4062924878263801973	0 20 26 56 86 168 176 180 206 210 218 300 330 360 366 386	1471193545206
SPT(16)	4062924895673897531	0 12 20 32 48 68 78 98 102 122 132 152 168 180 188 200	1488603640764