Prime p₀= 1242650909211119867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1242649562049328033	0 18 28 40 94 108 126 144 160 178 196 210 264 276 286 304	-1347161791834
SPT(16)	1242649845049914859	0 12 42 48 64 112 130 132 160 162 180 228 244 250 280 292	-1064161205008
SPT(16)	1242650001448430461	0 12 22 42 60 76 102 130 168 196 222 238 256 276 286 298	-907762689406
SPT(16)	1242650095779295513	0 6 48 136 150 156 190 246 268 324 358 364 378 466 508 514	-813431824354
STPT(10)	1242650123066746451	0 2 36 38 78 80 120 122 156 158	-786144373416
STPT(10)	1242650779832008577	0 2 30 32 60 62 90 92 120 122	-129379111290
STPT(12)	1242650961819587819	0 2 48 50 78 80 90 92 120 122 168 170	52608467952
SPT(16)	1242651602356174981	0 6 10 46 202 330 412 438 490 516 598 726 882 918 922 928	693145055114
STPT(10)	1242651619510142087	0 2 30 32 120 122 210 212 240 242	710299022220
SPT(16)	1242652058541211781	0 42 50 56 68 92 108 110 138 140 156 180 192 198 206 248	1149330091914
SPT(16)	1242652207912441523	0 18 26 36 38 60 74 96 98 120 134 156 158 168 176 194	1298701321656