Prime p₀= 2027354823370454621 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 106 2 40 2 58 2 88 2 16 2 (?)
a_n: 0 2 30 32 138 140 180 182 240 242 330 332 348 350
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: 350
Found by: Landjunge
db: batch=80, k=14, 28 106 40 58 88 16

STPT(10)	2027353913044140137	0 2 30 32 72 74 114 116 144 146	-910326314484
STPT(10)	2027353926875205749	0 2 18 20 30 32 42 44 60 62	-896495248872
SPT(18)	2027354007491488783	0 66 90 120 126 160 178 196 210 226 240 258 276 310 316 346 370 436	-815878965838
SPT(16)	2027354173160740999	0 18 28 42 72 120 144 154 198 208 232 280 310 324 334 352	-650209713622
SPT(16)	2027354508305253451	0 46 76 112 120 126 130 178 210 258 262 268 276 312 342 388	-315065201170
SPT(16)	2027354591680017263	0 6 14 20 30 68 80 108 146 174 186 224 234 240 248 254	-231690437358
SPT(16)	2027355793699532641	0 30 42 48 60 70 72 88 102 118 120 130 142 148 160 190	970329078020
STPT(10)	2027355851972289659	0 2 42 44 120 122 198 200 240 242	1028601835038
TPT(14)	2027356147068325847	0 2 12 14 54 56 90 92 132 134 174 176 294 296	1323697871226
STPT(10)	2027356202764786709	0 2 12 14 30 32 48 50 60 62	1379394332088
SPT(16)	2027356299721307231	0 32 42 66 102 132 146 150 158 162 176 206 242 266 276 308	1476350852610