Prime p₀= 869023286350240757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 46 2 40 2 34 2 28 2 22 2 (?)
a_n: 0 2 24 26 72 74 114 116 150 152 180 182 204 206
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: 206
Found by: Rhodan71
db: batch=73, k=14, 22 46 40 34 28 22

STPT(12)	869022340663377077	0 2 60 62 90 92 114 116 144 146 204 206	-945686863680
STPT(10)	869022548098189151	0 2 6 8 18 20 30 32 36 38	-738252051606
SPT(16)	869022779281888837	0 6 16 60 72 102 126 154 162 190 214 244 256 300 310 316	-507068351920
SPT(16)	869022841382072327	0 2 30 44 62 86 110 146 150 186 210 234 252 266 294 296	-444968168430
SPT(16)	869022945424715759	0 2 18 42 44 60 62 72 140 150 152 168 170 194 210 212	-340925524998
SPT(16)	869023102430000473	0 18 40 54 90 96 148 154 180 186 238 244 280 294 316 334	-183920240284
STPT(10)	869023519121646137	0 2 12 14 42 44 72 74 84 86	232771405380
STPT(12)	869023789103211617	0 2 12 14 54 56 150 152 192 194 204 206	502752970860
STPT(10)	869023983296240381	0 2 36 38 78 80 120 122 156 158	696945999624
SPT(16)	869023999307746943	0 114 134 170 240 246 300 306 338 344 398 404 474 510 530 644	712957506186
SPT(18)	869024104961408471	0 26 80 98 102 108 116 122 168 260 306 312 320 326 330 348 402 428	818611167714