Prime p₀= 1144738884772411301 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 52 2 28 2 34 2 70 2 28 2 (?)
a_n: 0 2 6 8 60 62 90 92 126 128 198 200 228 230
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: 230
Found by: Putin Has a Small Dick
db: batch=76, k=14, 4 52 28 34 70 28

SPT(16)	1144736838440621053	0 4 28 64 78 108 118 144 154 180 190 220 234 270 294 298	-2046331790248
STPT(10)	1144737272723744351	0 2 36 38 78 80 120 122 156 158	-1612048666950
SPT(16)	1144737311273645879	0 60 62 72 74 164 174 210 212 248 258 348 350 360 362 422	-1573498765422
STPT(10)	1144737668144852399	0 2 48 50 60 62 72 74 120 122	-1216627558902
STPT(10)	1144738036087116857	0 2 12 14 42 44 72 74 84 86	-848685294444
STPT(10)	1144738447980202037	0 2 30 32 42 44 54 56 84 86	-436792209264
SPT(16)	1144738928855187857	0 36 104 114 116 122 144 170 246 272 294 300 302 312 380 416	44082776556
STPT(10)	1144738959431266061	0 2 36 38 78 80 120 122 156 158	74658854760
SPT(16)	1144738960875372241	0 46 60 78 88 100 126 136 162 172 198 210 220 238 252 298	76102960940
SPT(16)	1144739075670038567	0 12 14 26 50 54 92 96 140 144 182 186 210 222 224 236	190897627266
SPT(16)	1144739462175250303	0 36 60 76 124 138 214 216 328 330 406 420 468 484 508 544	577402839002