Prime p₀= 2866323784432107401 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 22 2 16 2 10 2 58 2 124 2 (?)
a_n: 0 2 96 98 120 122 138 140 150 152 210 212 336 338
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: 338
Found by: JayPi
db: batch=82, k=14, 94 22 16 10 58 124

STPT(10)	2866322563823159027	0 2 30 32 72 74 114 116 144 146	-1220608948374
SPT(16)	2866322608677684719	0 14 62 72 110 140 150 182 222 254 264 294 332 342 390 404	-1175754422682
STPT(10)	2866322888869085489	0 2 18 20 30 32 42 44 60 62	-895563021912
STPT(10)	2866323170495917799	0 2 18 20 30 32 42 44 60 62	-613936189602
SPT(16)	2866323257734729159	0 34 42 54 64 72 90 108 124 142 160 168 178 190 198 232	-526697378242
STPT(10)	2866323497048628971	0 2 6 8 48 50 90 92 96 98	-287383478430
STPT(10)	2866324618474580441	0 2 6 8 48 50 90 92 96 98	834042473040
SPT(16)	2866324718926048441	0 6 22 36 90 102 120 130 168 178 196 208 262 276 292 298	934493941040
SPT(16)	2866324737448727959	0 4 18 22 40 78 210 264 328 382 514 552 570 574 588 592	953016620558
TPT(14)	2866325260540357709	0 2 42 44 90 92 120 122 162 164 168 170 240 242	1476108250308
TPT(14)	2866325889665916707	0 2 54 56 84 86 120 122 150 152 162 164 204 206	2105233809306