Prime p₀= 265730999953802441 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 118 2 40 2 10 2 28 2 4 2 (?)
a_n: 0 2 36 38 156 158 198 200 210 212 240 242 246 248
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: 248
Found by: [AF>Amis des Lapins] Ceclo
db: batch=69, k=14, 34 118 40 10 28 4

SPT(14)	265730954747800301	0 60 152 210 260 266 288 320 342 348 398 456 548 608	-45206002140
SPT(14)	265730960717884231	0 6 10 40 48 52 66 82 96 100 108 138 142 148	-39235918210
SPT(14)	265730963796532739	0 18 32 38 60 92 98 102 108 140 162 168 182 200	-36157269702
SPT(14)	265730986445156761	0 16 48 72 96 138 162 166 190 232 256 280 312 328	-13508645680
SPT(20)	265730994495051287	0 2 12 26 54 72 96 104 122 126 170 174 192 200 224 242 270 284 294 296	-5458751154
TPT(12)	265730994834330887	0 2 24 26 42 44 114 116 120 122 162 164	-5119471554
SPT(14)	265731040758725539	0 18 48 82 84 88 90 202 204 208 210 244 274 292	40804923098
SPT(14)	265731042234382939	0 4 18 30 42 70 82 90 102 130 142 154 168 172	42280580498
SPT(14)	265731050831875751	0 20 38 56 108 126 132 146 152 170 222 240 258 278	50878073310
TPT(12)	265731071553790991	0 2 36 38 78 80 96 98 108 110 150 152	71599988550
SPT(14)	265731078601922819	0 2 8 12 44 72 120 152 200 228 260 264 270 272	78648120378