Prime p₀= 3001786936540738277 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 4 2 28 2 10 2 16 2 10 2 (?)
a_n: 0 2 114 116 120 122 150 152 162 164 180 182 192 194
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: 194
Found by: [SG-FC] hl
db: batch=82, k=14, 112 4 28 10 16 10

STPT(10)	3001785417317766881	0 2 6 8 48 50 90 92 96 98	-1519222971396
STPT(10)	3001786091063584841	0 2 30 32 78 80 126 128 156 158	-845477153436
SPT(16)	3001786110061790323	0 4 18 28 30 34 76 88 96 108 150 154 156 166 180 184	-826478947954
SPT(18)	3001786211927913481	0 10 16 42 58 100 106 112 136 162 186 192 198 240 256 282 288 298	-724612824796
SPT(16)	3001786642399138081	0 12 82 148 166 186 222 250 258 286 322 342 360 426 496 508	-294141600196
SPT(16)	3001786799350866797	0 12 20 54 92 200 260 272 462 474 534 642 680 714 722 734	-137189871480
STPT(10)	3001787046825349379	0 2 42 44 60 62 78 80 120 122	110284611102
TPT(16)	3001787197918552709	0 2 30 32 72 74 108 110 150 152 180 182 288 290 360 362	261377814432
STPT(12)	3001787197918552709	0 2 30 32 72 74 108 110 150 152 180 182	261377814432
SPT(16)	3001787524142771557	0 12 36 42 160 172 186 196 306 316 330 342 460 466 490 502	587602033280
SPT(16)	3001787873431656853	0 24 34 60 66 84 90 130 150 190 196 214 220 246 256 280	936890918576