Prime p₀= 2732113651263467927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 28 2 76 2 76 2 10 2 (?)
a_n: 0 2 24 26 54 56 84 86 162 164 240 242 252 254
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: 254
Found by: JayPi
db: batch=82, k=14, 22 28 28 76 76 10

SPT(16)	2732113329890788693	0 24 48 58 76 90 136 154 180 198 244 258 276 286 310 334	-321372679234
STPT(10)	2732113341276390527	0 2 30 32 42 44 54 56 84 86	-309987077400
SPT(16)	2732113415894071817	0 2 20 86 110 132 156 170 252 266 290 312 336 402 420 422	-235369396110
SPT(16)	2732113451167528843	0 4 6 34 60 84 108 114 130 136 160 184 210 238 240 244	-200095939084
STPT(10)	2732113554550230647	0 2 30 32 42 44 54 56 84 86	-96713237280
SPT(16)	2732113580414786509	0 22 28 40 78 82 112 160 162 210 240 244 282 294 300 322	-70848681418
SPT(16)	2732114050321825243	0 16 34 46 96 100 180 208 216 244 324 328 378 390 408 424	399058357316
STPT(10)	2732114306011081109	0 2 18 20 30 32 42 44 60 62	654747613182
TPT(14)	2732114312206099109	0 2 42 44 78 80 252 254 312 314 420 422 552 554	660942631182
SPT(16)	2732114407443490799	0 20 30 32 38 92 122 144 188 210 240 294 300 302 312 332	756180022872
SPT(16)	2732114657691918581	0 12 56 78 80 96 140 146 222 228 272 288 290 312 356 368	1006428450654