Prime p₀= 751973376278178797 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: Theadalus
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	751972241133044251	0 28 66 78 90 106 136 138 190 192 222 238 250 262 300 328	-1135145134546
SPT(18)	751972547554904089	0 18 30 42 58 72 100 102 124 198 220 222 250 264 280 292 304 322	-828723274708
SPT(16)	751972549947154759	0 54 60 82 88 138 208 220 252 264 334 384 390 412 418 472	-826331024038
SPT(16)	751972754490130991	0 12 20 26 30 32 72 96 116 140 180 182 186 192 200 212	-621788047806
STPT(10)	751972959713666531	0 2 36 38 78 80 120 122 156 158	-416564512266
SPT(16)	751973064334362347	0 44 66 96 116 120 140 144 176 180 200 204 224 254 276 320	-311943816450
SPT(16)	751973680425920273	0 24 60 146 198 210 216 230 234 248 254 266 318 404 440 464	304147741476
SPT(13)	751973785490701483	0 36 66 78 108 120 138 156 168 198 210 240 276	409212522686
SPT(16)	751974276015153479	0 2 14 84 138 210 254 264 278 288 332 404 458 528 540 542	899736974682
SPT(16)	751974340245796559	0 14 20 30 48 68 80 90 128 138 150 170 188 198 204 218	963967617762
TPT(14)	751974371049840779	0 2 42 44 78 80 162 164 222 224 240 242 318 320	994771661982