Prime p₀= 2861177602282532537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 22 2 34 2 22 2 28 2 (?)
a_n: 0 2 12 14 30 32 54 56 90 92 114 116 144 146
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: 146
Found by: JayPi
db: batch=82, k=14, 10 16 22 34 22 28

SPT(16)	2861176117263441937	0 10 70 102 136 142 154 166 240 252 264 270 304 336 396 406	-1485019090600
SPT(16)	2861176694373036133	0 24 30 40 70 84 108 150 208 250 274 288 318 328 334 358	-907909496404
SPT(16)	2861176974276987089	0 44 72 104 120 122 140 230 324 414 432 434 450 482 510 554	-628005545448
STPT(10)	2861177205509294039	0 2 18 20 30 32 42 44 60 62	-396773238498
STPT(10)	2861177311975192631	0 2 36 38 78 80 120 122 156 158	-290307339906
SPT(16)	2861177505769176703	0 6 18 46 76 96 118 120 124 126 148 168 198 226 238 244	-96513355834
SPT(16)	2861177690457297473	0 30 36 56 66 80 98 126 248 276 294 308 318 338 344 374	88174764936
STPT(10)	2861177693769301349	0 2 42 44 60 62 78 80 120 122	91486768812
STPT(10)	2861177761165882097	0 2 30 32 60 62 90 92 120 122	158883349560
SPT(16)	2861177857686123343	0 30 54 60 70 90 118 120 208 210 238 258 268 274 298 328	255403590806
TPT(14)	2861178171955405961	0 2 36 38 126 128 138 140 150 152 168 170 246 248	569672873424