Prime p₀= 2938277187548438837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 34 2 40 2 58 2 16 2 (?)
a_n: 0 2 24 26 54 56 90 92 132 134 192 194 210 212
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: 212
Found by: Roadranner
db: batch=82, k=14, 22 28 34 40 58 16

SPT(16)	2938276566693926113	0 24 40 138 154 166 190 216 238 264 288 300 316 414 430 454	-620854512724
STPT(10)	2938276619826569849	0 2 42 44 60 62 78 80 120 122	-567721868988
SPT(16)	2938276863759502709	0 48 72 80 90 122 134 182 240 288 300 332 342 350 374 422	-323788936128
STPT(10)	2938276886628680279	0 2 12 14 90 92 168 170 180 182	-300919758558
STPT(10)	2938276920697699037	0 2 30 32 72 74 114 116 144 146	-266850739800
SPT(16)	2938277027016941177	0 36 42 60 80 140 156 162 200 206 222 282 302 320 326 362	-160531497660
STPT(12)	2938277198606870357	0 2 12 14 30 32 54 56 72 74 84 86	11058431520
SPT(16)	2938277226553914569	0 18 74 108 120 150 162 168 224 230 242 272 284 318 374 392	39005475732
STPT(10)	2938277247822991757	0 2 42 44 72 74 102 104 144 146	60274552920
STPT(10)	2938277369324864027	0 2 24 26 42 44 60 62 84 86	181776425190
STPT(10)	2938277490564436169	0 2 30 32 120 122 210 212 240 242	303015997332