Prime p₀= 3015946958279697047 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 40 2 16 2 10 2 34 2 82 2 (?)
a_n: 0 2 72 74 114 116 132 134 144 146 180 182 264 266
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: 266
Found by: JohnMD
db: batch=82, k=14, 70 40 16 10 34 82

STPT(10)	3015945235575106787	0 2 30 32 42 44 54 56 84 86	-1722704590260
SPT(16)	3015945299712134609	0 2 74 98 120 122 138 140 222 224 240 242 264 288 360 362	-1658567562438
SPT(16)	3015945791181344269	0 22 30 48 52 100 112 114 118 120 132 180 184 202 210 232	-1167098352778
STPT(10)	3015945921930644567	0 2 42 44 72 74 102 104 144 146	-1036349052480
SPT(16)	3015945972795540391	0 18 48 66 112 138 166 178 210 222 250 276 322 340 370 388	-985484156656
SPT(16)	3015946715348425073	0 18 48 50 56 66 120 140 186 206 260 270 276 278 308 326	-242931271974
STPT(10)	3015947345437701677	0 2 30 32 72 74 114 116 144 146	387158004630
SPT(16)	3015947351006296739	0 14 60 90 102 120 152 174 308 330 362 380 392 422 468 482	392726599692
SPT(16)	3015947674097591449	0 30 42 54 72 102 124 160 192 228 250 280 298 310 322 352	715817894402
STPT(10)	3015948021631633589	0 2 48 50 90 92 132 134 180 182	1063351936542
SPT(16)	3015948920850770809	0 28 78 132 150 198 232 234 238 240 274 322 340 394 444 472	1962571073762