Prime p₀= 2864587041254698391 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 64 2 40 2 40 2 76 2 (?)
a_n: 0 2 30 32 60 62 126 128 168 170 210 212 288 290
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: [SG-FC] hl
db: batch=82, k=14, 28 28 64 40 40 76

SPT(16)	2864586211710680987	0 26 50 56 80 84 110 116 144 150 176 180 204 210 234 260	-829544017404
SPT(16)	2864586439384961597	0 36 42 92 122 140 144 152 174 182 186 204 234 284 290 326	-601869736794
SPT(16)	2864586456577828691	0 36 56 90 98 126 132 210 218 296 302 330 338 372 392 428	-584676869700
SPT(16)	2864586568426845947	0 14 20 114 126 164 182 230 336 384 402 440 452 546 552 566	-472827852444
SPT(16)	2864586650320209461	0 8 12 30 48 56 72 98 210 236 252 260 278 296 300 308	-390934488930
STPT(12)	2864586955023958007	0 2 30 32 54 56 60 62 84 86 114 116	-86230740384
STPT(10)	2864587345393681637	0 2 30 32 72 74 114 116 144 146	304138983246
STPT(10)	2864587962594879839	0 2 48 50 90 92 132 134 180 182	921340181448
SPT(16)	2864588129819126881	0 16 18 36 88 108 112 156 232 276 280 300 352 370 372 388	1088564428490
STPT(10)	2864588154117257987	0 2 12 14 42 44 72 74 84 86	1112862559596
STPT(10)	2864588551135500359	0 2 18 20 60 62 102 104 120 122	1509880801968