Prime p₀= 1300526851207239419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 160 2 10 2 64 2 28 2 22 2 (?)
a_n: 0 2 78 80 240 242 252 254 318 320 348 350 372 374
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: 374
Found by: HenkM
db: batch=77, k=14, 76 160 10 64 28 22

STPT(10)	1300525670097059597	0 2 42 44 72 74 102 104 144 146	-1181110179822
STPT(10)	1300525697328084047	0 2 60 62 72 74 84 86 144 146	-1153879155372
STPT(10)	1300526222777683127	0 2 30 32 72 74 114 116 144 146	-628429556292
SPT(16)	1300526684766563273	0 6 26 66 90 96 120 126 188 194 218 224 248 288 308 314	-166440676146
SPT(16)	1300526714972945423	0 8 20 54 60 90 98 104 264 270 278 308 314 348 360 368	-136234293996
STPT(10)	1300526810231468747	0 2 12 14 72 74 132 134 144 146	-40975770672
TPT(14)	1300527210663951899	0 2 30 32 72 74 192 194 198 200 210 212 228 230	359456712480
SPT(16)	1300527286441804921	0 40 66 76 78 106 126 148 168 190 210 238 240 250 276 316	435234565502
STPT(10)	1300527409362015047	0 2 90 92 132 134 174 176 264 266	558154775628
STPT(12)	1300527641589269057	0 2 72 74 84 86 240 242 252 254 324 326	790382029638
STPT(10)	1300527692016095897	0 2 54 56 72 74 90 92 144 146	840808856478