Prime p₀= 2156267707259668577 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 28 2 28 2 40 2 10 2 16 2 (?)
a_n: 0 2 120 122 150 152 180 182 222 224 234 236 252 254
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: 254
Found by: JayPi
db: batch=81, k=14, 118 28 28 40 10 16

SPT(16)	2156266461892989907	0 6 10 24 66 76 112 180 196 264 300 310 352 366 370 376	-1245366678670
STPT(10)	2156266509063547217	0 2 30 32 42 44 54 56 84 86	-1198196121360
SPT(16)	2156266827098398919	0 38 48 90 98 158 182 240 260 318 342 402 410 452 462 500	-880161269658
STPT(10)	2156267021597170211	0 2 36 38 78 80 120 122 156 158	-685662498366
SPT(16)	2156267192406910381	0 10 22 42 60 82 88 96 112 120 126 148 166 186 198 208	-514852758196
SPT(16)	2156267368248244403	0 50 98 104 194 230 248 300 308 360 378 414 504 510 558 608	-339011424174
SPT(16)	2156267709461291341	0 6 12 42 58 88 112 132 136 156 180 210 226 256 262 268	2201622764
STPT(10)	2156268092267555807	0 2 30 32 72 74 114 116 144 146	385007887230
STPT(10)	2156268287116161479	0 2 18 20 30 32 42 44 60 62	579856492902
STPT(10)	2156268433818904589	0 2 18 20 30 32 42 44 60 62	726559236012
STPT(10)	2156268500152155209	0 2 42 44 60 62 78 80 120 122	792892486632