Prime p₀= 1020201788024181767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: 266
Found by: HenkM
db: batch=76, k=10, 2 40 2 88 2

SPT(16)	1020200086881561791	0 6 8 30 36 56 62 78 170 186 192 212 218 240 242 248	-1701142619976
STPT(10)	1020201018238688729	0 2 42 44 60 62 78 80 120 122	-769785493038
STPT(10)	1020201216745700609	0 2 12 14 90 92 168 170 180 182	-571278481158
SPT(16)	1020201519266801621	0 8 96 98 122 138 140 170 288 318 320 336 360 362 450 458	-268757380146
SPT(16)	1020201593891571787	0 10 22 40 54 82 112 126 160 174 204 232 246 264 276 286	-194132609980
SPT(16)	1020201756243709141	0 18 22 42 48 76 82 120 208 246 252 280 286 306 310 328	-31780472626
TPT(14)	1020201980783555831	0 2 6 8 18 20 30 32 48 50 60 62 126 128	192759374064
STPT(12)	1020202652953194629	0 2 42 44 72 74 90 92 120 122 162 164	864929012862
SPT(16)	1020202654953840949	0 12 34 42 108 198 204 220 222 238 244 334 400 408 430 442	866929659182
SPT(16)	1020202771870293673	0 16 54 60 84 90 138 208 216 286 334 340 364 370 408 424	983846111906
STPT(10)	1020203036214079811	0 2 36 38 78 80 120 122 156 158	1248189898044