Prime p₀= 869584921290667247 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 130 2 4 2 28 2 22 2 (?)
a_n: 0 2 30 32 72 74 204 206 210 212 240 242 264 266
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: RFGuy_KCCO
db: batch=73, k=14, 28 40 130 4 28 22

SPT(16)	869583837986156443	0 16 24 30 64 100 120 124 150 154 174 210 244 250 258 274	-1083304510804
TPT(14)	869584116653336867	0 2 24 26 54 56 72 74 102 104 180 182 264 266	-804637330380
SPT(16)	869584119804514061	0 26 48 62 80 96 98 138 140 180 182 198 216 230 252 278	-801486153186
STPT(10)	869584242680348519	0 2 18 20 30 32 42 44 60 62	-678610318728
SPT(18)	869584370607730541	0 102 128 150 162 170 200 210 222 266 278 288 318 326 338 360 386 488	-550682936706
SPT(16)	869584849087795063	0 18 40 138 150 178 210 276 280 346 378 406 418 516 538 556	-72202872184
STPT(10)	869585070132148619	0 2 18 20 30 32 42 44 60 62	148841481372
STPT(10)	869585255885461481	0 2 36 38 78 80 120 122 156 158	334594794234
STPT(10)	869585323558051151	0 2 6 8 18 20 30 32 36 38	402267383904
SPT(16)	869585700048105619	0 22 42 112 144 154 160 172 210 222 228 238 270 340 360 382	778757438372
SPT(16)	869586248534451659	0 2 38 44 54 78 80 98 234 252 254 278 288 294 330 332	1327243784412