Prime p₀= 1826073922021018037 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 70 2 16 2 28 2 118 2 10 2 (?)
a_n: 0 2 12 14 84 86 102 104 132 134 252 254 264 266
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: [AF] Kalianthys
db: batch=79, k=14, 10 70 16 28 118 10

SPT(16)	1826072612942061403	0 54 76 78 124 126 138 174 190 226 238 240 286 288 310 364	-1309078956634
STPT(10)	1826072765674892417	0 2 12 14 72 74 132 134 144 146	-1156346125620
SPT(16)	1826072819133330617	0 2 62 72 80 120 126 146 156 176 182 222 230 240 300 302	-1102887687420
STPT(10)	1826073299879647667	0 2 30 32 60 62 90 92 120 122	-622141370370
STPT(10)	1826073461181927311	0 2 6 8 48 50 90 92 96 98	-460839090726
STPT(10)	1826073807113625227	0 2 30 32 72 74 114 116 144 146	-114907392810
STPT(10)	1826074013302988567	0 2 24 26 42 44 60 62 84 86	91281970530
SPT(16)	1826074188111889087	0 22 30 36 40 60 72 82 84 94 106 126 130 136 144 166	266090871050
STPT(10)	1826074651731708407	0 2 30 32 42 44 54 56 84 86	729710690370
SPT(16)	1826074670379222433	0 76 84 100 108 186 228 256 258 286 328 406 414 430 438 514	748358204396
SPT(16)	1826075015307475871	0 8 56 60 122 162 198 266 312 380 416 456 518 522 570 578	1093286457834