Prime p₀= 2013711927690343667 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 64 2 58 2 22 2 28 2 16 2 (?)
a_n: 0 2 24 26 90 92 150 152 174 176 204 206 222 224
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: 224
Found by: Chooka
db: batch=80, k=14, 22 64 58 22 28 16

SPT(16)	2013709738116092663	0 20 38 66 80 98 164 168 236 240 306 324 338 366 384 404	-2189574251004
STPT(10)	2013710593986385067	0 2 42 44 72 74 102 104 144 146	-1333703958600
STPT(10)	2013710669838184319	0 2 30 32 60 62 90 92 120 122	-1257852159348
SPT(16)	2013710703786257527	0 30 34 72 106 126 130 154 162 186 190 210 244 282 286 316	-1223904086140
SPT(16)	2013711476701839613	0 34 46 54 90 96 150 178 216 244 298 304 340 348 360 394	-450988504054
SPT(16)	2013711694149545353	0 40 60 66 120 124 148 186 238 276 300 304 358 364 384 424	-233540798314
STPT(12)	2013712012768238969	0 2 30 32 42 44 90 92 102 104 132 134	85077895302
STPT(10)	2013712314077226941	0 2 6 8 48 50 90 92 96 98	386386883274
SPT(16)	2013712545886390823	0 8 18 24 38 84 104 126 158 180 200 246 260 266 276 284	618196047156
STPT(10)	2013712612549746341	0 2 36 38 78 80 120 122 156 158	684859402674
SPT(16)	2013712781522972381	0 36 90 92 146 150 152 176 192 216 218 222 276 278 332 368	853832628714