Prime p₀= 1298065389936011297 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: Cruncher Pete
db: batch=77, k=10, 2 40 2 28 2

SPT(16)	1298064396584406049	0 4 22 42 48 82 132 162 250 280 330 364 370 390 408 412	-993351605248
SPT(16)	1298064469784868271	0 30 36 52 58 70 142 162 226 246 318 330 336 352 358 388	-920151143026
STPT(10)	1298064573360163517	0 2 30 32 42 44 54 56 84 86	-816575847780
SPT(16)	1298064659797672463	0 54 60 90 98 120 138 146 258 266 284 306 314 344 350 404	-730138338834
STPT(10)	1298064860999275511	0 2 6 8 18 20 30 32 36 38	-528936735786
STPT(10)	1298065123303191071	0 2 6 8 48 50 90 92 96 98	-266632820226
STPT(10)	1298065652996701607	0 2 12 14 72 74 132 134 144 146	263060690310
SPT(16)	1298065962710002729	0 22 34 52 102 132 178 190 192 204 250 280 330 348 360 382	572773991432
TPT(14)	1298066018987219351	0 2 18 20 48 50 60 62 126 128 156 158 258 260	629051208054
TPT(14)	1298066075313227177	0 2 60 62 84 86 114 116 144 146 150 152 222 224	685377215880
STPT(10)	1298066663354602781	0 2 6 8 48 50 90 92 96 98	1273418591484