Prime p₀= 1261127486289353069 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 40 2 124 2 28 2 28 2 (?)
a_n: 0 2 48 50 60 62 102 104 228 230 258 260 288 290
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: 290
Found by: [AF>Libristes] Elorak
db: batch=77, k=14, 46 10 40 124 28 28

SPT(16)	1261126704309100649	0 12 72 80 102 138 152 170 210 228 242 278 300 308 368 380	-781980252420
STPT(10)	1261126810230627869	0 2 12 14 90 92 168 170 180 182	-676058725200
SPT(16)	1261126878092658539	0 8 32 78 98 102 128 212 228 312 338 342 362 408 432 440	-608196694530
SPT(16)	1261127174113298137	0 24 34 66 142 154 162 174 262 274 282 294 370 402 412 436	-312176054932
STPT(10)	1261127297526730391	0 2 6 8 18 20 30 32 36 38	-188762622678
STPT(10)	1261127312514907049	0 2 42 44 60 62 78 80 120 122	-173774446020
STPT(10)	1261127764950500267	0 2 60 62 72 74 84 86 144 146	278661147198
STPT(10)	1261127949678430331	0 2 36 38 78 80 120 122 156 158	463389077262
SPT(16)	1261128288754594213	0 4 64 90 118 120 126 130 144 148 154 156 184 210 270 274	802465241144
SPT(16)	1261128382150396757	0 54 74 86 92 110 116 144 152 180 186 204 210 222 242 296	895861043688
SPT(16)	1261128397432391333	0 60 96 108 110 126 180 206 258 284 338 354 356 368 404 464	911143038264