Prime p₀= 2040121100812146017 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 40 2 130 2 46 2 28 2 (?)
a_n: 0 2 12 14 30 32 72 74 204 206 252 254 282 284
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: LeChat51X
db: batch=80, k=14, 10 16 40 130 46 28

SPT(16)	2040119874946363079	0 42 62 90 122 150 174 210 254 290 314 342 374 402 422 464	-1225865782938
SPT(16)	2040120003868219901	0 8 26 38 56 60 78 102 116 140 158 162 180 192 210 218	-1096943926116
STPT(10)	2040120618348639611	0 2 36 38 78 80 120 122 156 158	-482463506406
SPT(16)	2040120712817943361	0 28 42 60 88 118 130 286 342 498 510 540 568 586 600 628	-387994202656
STPT(10)	2040120906920642627	0 2 42 44 72 74 102 104 144 146	-193891503390
SPT(16)	2040120960287530217	0 42 56 102 152 182 186 192 230 236 240 270 320 366 380 422	-140524615800
TPT(14)	2040121175008308869	0 2 12 14 78 80 120 122 138 140 180 182 198 200	74196162852
STPT(10)	2040121360938887927	0 2 30 32 42 44 54 56 84 86	260126741910
STPT(10)	2040121483318419167	0 2 30 32 162 164 294 296 324 326	382506273150
TPT(14)	2040121583765116529	0 2 12 14 18 20 108 110 150 152 168 170 240 242	482952970512
SPT(16)	2040121750842043441	0 28 42 70 100 126 130 156 172 198 202 228 258 286 300 328	650029897424