Prime p₀= 2556414447090810851 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 154 2 40 2 88 2 16 2 22 2 (?)
a_n: 0 2 30 32 186 188 228 230 318 320 336 338 360 362
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: 362
Found by: JayPi
db: batch=82, k=14, 28 154 40 88 16 22

STPT(10)	2556412788555266651	0 2 6 8 48 50 90 92 96 98	-1658535544200
SPT(16)	2556412846540330229	0 20 78 90 114 152 212 222 260 270 330 368 392 404 462 482	-1600550480622
STPT(10)	2556412934498232809	0 2 18 20 30 32 42 44 60 62	-1512592578042
SPT(16)	2556412973037978413	0 14 20 36 78 104 126 186 188 248 270 296 338 354 360 374	-1474052832438
SPT(16)	2556413351258071453	0 30 66 108 124 126 144 156 208 220 238 240 256 298 334 364	-1095832739398
STPT(10)	2556414034751777909	0 2 42 44 60 62 78 80 120 122	-412339032942
SPT(16)	2556415026169881839	0 14 30 32 42 50 102 114 140 152 204 212 222 224 240 254	579079070988
SPT(16)	2556416278200847451	0 26 36 50 78 86 120 176 180 236 270 278 306 320 330 356	1831110036600
SPT(18)	2556416338012906921	0 10 16 30 40 52 76 90 96 112 118 132 156 168 178 192 198 208	1890922096070
SPT(16)	2556416544522872231	0 6 30 48 50 92 98 162 356 420 426 468 470 488 512 518	2097432061380
STPT(10)	2556416985591436967	0 2 24 26 42 44 60 62 84 86	2538500626116