Prime p₀= 2725890174559726637 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 106 2 22 2 16 2 58 2 88 2 (?)
a_n: 0 2 72 74 180 182 204 206 222 224 282 284 372 374
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: 374
Found by: JayPi
db: batch=82, k=14, 70 106 22 16 58 88

SPT(16)	2725889266299079871	0 2 6 20 48 86 110 198 200 288 312 350 378 392 396 398	-908260646766
TPT(14)	2725889434297474127	0 2 60 62 72 74 90 92 102 104 144 146 174 176	-740262252510
STPT(10)	2725889580571955657	0 2 30 32 72 74 114 116 144 146	-593987770980
STPT(12)	2725889749196229431	0 2 30 32 48 50 138 140 156 158 186 188	-425363497206
SPT(16)	2725890153777971533	0 66 84 90 108 118 124 166 168 210 216 226 244 250 268 334	-20781755104
STPT(10)	2725890153922094207	0 2 42 44 72 74 102 104 144 146	-20637632430
STPT(12)	2725890397534379837	0 2 12 14 54 56 180 182 222 224 234 236	222974653200
SPT(16)	2725890783777995039	0 42 72 84 98 122 140 150 152 162 180 204 218 230 260 302	609218268402
STPT(10)	2725891846011085649	0 2 78 80 120 122 162 164 240 242	1671451359012
SPT(16)	2725892145088881913	0 16 18 30 34 46 84 96 148 160 198 210 214 226 228 244	1970529155276
SPT(16)	2725892185902754489	0 12 22 24 52 54 70 90 112 132 148 150 178 180 190 202	2011343027852