Prime p₀= 1116210209729800037 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 40 2 70 2 124 2 10 2 (?)
a_n: 0 2 12 14 30 32 72 74 144 146 270 272 282 284
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: 284
Found by: arkiss
db: batch=76, k=14, 10 16 40 70 124 10

SPT(18)	1116207814516322569	0 4 18 34 54 70 108 114 130 222 238 244 282 298 318 334 348 352	-2395213477468
STPT(10)	1116208128220494467	0 2 54 56 72 74 90 92 144 146	-2081509305570
STPT(10)	1116208283872583579	0 2 18 20 30 32 42 44 60 62	-1925857216458
STPT(10)	1116208756937065397	0 2 12 14 72 74 132 134 144 146	-1452792734640
SPT(16)	1116208788174024401	0 8 62 80 90 98 120 126 302 308 330 338 348 366 420 428	-1421555775636
SPT(16)	1116209400261944957	0 30 36 50 96 114 126 152 234 260 272 290 336 350 356 386	-809467855080
SPT(16)	1116210375225353861	0 32 90 102 110 168 248 266 312 330 410 468 476 488 546 578	165495553824
SPT(16)	1116210432732639467	0 32 44 62 80 84 90 122 132 164 170 174 192 210 222 254	223002839430
SPT(16)	1116210582268349237	0 26 36 60 96 104 150 174 236 260 306 314 350 374 384 410	372538549200
STPT(10)	1116210885012475277	0 2 84 86 132 134 180 182 264 266	675282675240
STPT(10)	1116211088426923031	0 2 6 8 48 50 90 92 96 98	878697122994