Prime p₀= 1008099868973177777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: HenkM
db: batch=76, k=10, 2 22 2 16 2

SPT(18)	1008098251338344779	0 28 34 72 88 118 120 148 162 250 264 292 294 324 340 378 384 412	-1617634832998
STPT(10)	1008098303279470979	0 2 30 32 120 122 210 212 240 242	-1565693706798
SPT(16)	1008098352900416849	0 2 12 32 60 80 102 110 210 218 240 260 288 308 318 320	-1516072760928
SPT(16)	1008098528581507123	0 10 18 54 70 120 124 126 148 150 154 204 220 256 264 274	-1340391670654
SPT(16)	1008098866152880547	0 6 12 30 96 114 174 192 194 212 272 290 356 374 380 386	-1002820297230
SPT(16)	1008099257533236217	0 4 46 70 72 84 100 112 114 126 142 154 156 180 222 226	-611439941560
SPT(16)	1008100069325924077	0 16 40 66 90 94 96 114 262 280 282 286 310 336 360 376	200352746300
STPT(10)	1008100564212362627	0 2 30 32 42 44 54 56 84 86	695239184850
SPT(16)	1008100720500157831	0 66 70 120 148 166 172 178 180 186 192 210 238 288 292 358	851526980054
SPT(18)	1008101082156479657	0 2 12 36 54 66 80 92 146 240 294 306 320 332 350 374 384 386	1213183301880
STPT(10)	1008101180170605317	0 2 30 32 42 44 54 56 84 86	1311197427540