Prime p₀= 1081297612165179107 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 106 2 28 2 28 2 28 2 (?)
a_n: 0 2 12 14 72 74 180 182 210 212 240 242 270 272
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: 272
Found by: ginga
db: batch=76, k=14, 10 58 106 28 28 28

STPT(10)	1081296628346737469	0 2 42 44 120 122 198 200 240 242	-983818441638
STPT(10)	1081296737331920507	0 2 30 32 72 74 114 116 144 146	-874833258600
SPT(16)	1081297052515459979	0 8 12 38 90 138 198 240 272 314 374 422 474 500 504 512	-559649719128
SPT(16)	1081297216095679543	0 6 10 28 30 78 90 136 210 256 268 316 318 336 340 346	-396069499564
SPT(16)	1081297536649007173	0 30 40 70 84 100 118 130 138 150 168 184 198 228 238 268	-75516171934
STPT(10)	1081297596970810361	0 2 6 8 18 20 30 32 36 38	-15194368746
TPT(14)	1081297765011915509	0 2 78 80 132 134 210 212 300 302 372 374 378 380	152846736402
STPT(10)	1081297791405996551	0 2 30 32 78 80 126 128 156 158	179240817444
SPT(16)	1081297925200487479	0 18 30 64 72 84 88 114 118 144 148 160 168 202 214 232	313035308372
STPT(10)	1081299300991123769	0 2 18 20 60 62 102 104 120 122	1688825944662
SPT(16)	1081299334975115213	0 26 48 80 104 110 138 168 236 266 294 300 324 356 378 404	1722809936106