Prime p₀= 1268551310732617907 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
All 10 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: Megacruncher
db: batch=77, k=10, 2 28 2 40 2

SPT(16)	1268549933277807073	0 34 36 60 64 76 78 106 108 136 138 150 154 178 180 214	-1377454810834
SPT(16)	1268550668576933639	0 30 44 104 132 134 162 170 174 182 210 212 240 300 314 344	-642155684268
STPT(10)	1268550734021943257	0 2 12 14 42 44 72 74 84 86	-576710674650
SPT(16)	1268550745263533863	0 24 36 40 54 120 138 196 228 286 304 370 384 388 400 424	-565469084044
STPT(10)	1268551277340156779	0 2 12 14 30 32 48 50 60 62	-33392461128
SPT(16)	1268551278635032309	0 4 22 82 114 142 154 168 334 348 360 388 420 480 498 502	-32097585598
STPT(12)	1268551460110190747	0 2 12 14 30 32 54 56 72 74 84 86	149377572840
SPT(16)	1268551683822499379	0 2 42 44 174 252 294 338 354 398 440 518 648 650 690 692	373089881472
SPT(16)	1268551767573843847	0 12 30 42 70 94 136 156 160 180 222 246 274 286 304 316	456841225940
SPT(16)	1268551854155410399	0 28 60 130 168 190 222 238 264 280 312 334 372 442 474 502	543422792492
SPT(16)	1268551898933507819	0 24 42 72 78 92 120 134 228 242 270 284 290 320 338 362	588200889912