Prime p₀= 2881411290723290177 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 58 2 28 2 4 2 118 2 (?)
a_n: 0 2 30 32 54 56 114 116 144 146 150 152 270 272
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: 272
Found by: [SG-FC] hl
db: batch=82, k=14, 28 22 58 28 4 118

STPT(10)	2881410366757731071	0 2 6 8 48 50 90 92 96 98	-923965559106
SPT(16)	2881410552558866621	0 38 90 96 122 128 132 140 198 206 210 216 242 248 300 338	-738164423556
SPT(13)	2881410764564089151	0 18 36 66 108 150 168 186 228 270 300 318 336	-526159201026
SPT(16)	2881411169894140777	0 22 24 36 46 64 106 112 144 150 192 210 220 232 234 256	-120829149400
STPT(10)	2881411239009016487	0 2 54 56 72 74 90 92 144 146	-51714273690
SPT(16)	2881411269198471601	0 28 30 40 42 118 130 138 160 168 180 256 258 268 270 298	-21524818576
STPT(10)	2881411329104840219	0 2 78 80 120 122 162 164 240 242	38381550042
TPT(14)	2881411413760863419	0 2 72 74 120 122 168 170 228 230 330 332 468 470	123037573242
SPT(16)	2881411662351585949	0 22 70 112 144 160 172 312 322 462 474 490 522 564 612 634	371628295772
STPT(10)	2881411765556404139	0 2 42 44 90 92 138 140 180 182	474833113962
STPT(10)	2881411831233088607	0 2 24 26 42 44 60 62 84 86	540509798430